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40468439531520 = 2153357111321937
BaseRepresentation
bin10010011001110010010101…
…11101101000000000000000
312022021202010010112210212000
421030321022331220000000
520301013331010002040
6222022540001104000
711344514441261430
oct1114711275500000
9168252103483760
1040468439531520
1111992629118470
12465707a628000
131977207c78c00
149dc97bd302c0
154a2a24c35130
hex24ce4af68000

40468439531520 has 6144 divisors, whose sum is σ = 210000563712000. Its totient is φ = 7154895421440.

The previous prime is 40468439531491. The next prime is 40468439531521. The reversal of 40468439531520 is 2513593486404.

It is a happy number.

40468439531520 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 8 + 439 + 53 + 152 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40468439531521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1093741608942 + ... + 1093741608978.

It is an arithmetic number, because the mean of its divisors is an integer number (34179779250).

Almost surely, 240468439531520 is an apocalyptic number.

40468439531520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40468439531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105000281856000).

40468439531520 is an abundant number, since it is smaller than the sum of its proper divisors (169532124180480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40468439531520 is a wasteful number, since it uses less digits than its factorization.

40468439531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 40468439531520 in words is "forty trillion, four hundred sixty-eight billion, four hundred thirty-nine million, five hundred thirty-one thousand, five hundred twenty".