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40666494240 = 253251761113241
BaseRepresentation
bin100101110111111010…
…010111010100100000
310212222010011221201100
4211313322113110200
51131241110303430
630403144034400
72636516332461
oct456772272440
9125863157640
1040666494240
11162791a3029
127a6b162a00
133ab1190058
141d7ad02d68
1510d028b960
hex977e97520

40666494240 has 576 divisors, whose sum is σ = 151293254112. Its totient is φ = 9909043200.

The previous prime is 40666494221. The next prime is 40666494251. The reversal of 40666494240 is 4249466604.

It can be written as a sum of positive squares in 16 ways, for example, as 28772496 + 40637721744 = 5364^2 + 201588^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168740520 + ... + 168740760.

Almost surely, 240666494240 is an apocalyptic number.

40666494240 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 40666494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75646627056).

40666494240 is an abundant number, since it is smaller than the sum of its proper divisors (110626759872).

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

40666494240 is a wasteful number, since it uses less digits than its factorization.

40666494240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 40666494240 in words is "forty billion, six hundred sixty-six million, four hundred ninety-four thousand, two hundred forty".