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40644694080 = 2633559711123
BaseRepresentation
bin100101110110100111…
…001101000001000000
310212220121011101112000
4211312213031001000
51131220020202310
630401044504000
72636133125244
oct456647150100
9125817141460
1040644694080
1116267963271
127a639ab000
133aa97c9453
141d7806a424
1510cd3d24c0
hex9769cd040

40644694080 has 448 divisors, whose sum is σ = 148001126400. Its totient is φ = 10495457280.

The previous prime is 40644694061. The next prime is 40644694093. The reversal of 40644694080 is 8049644604.

40644694080 is a `hidden beast` number, since 40 + 6 + 446 + 94 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36192399 + ... + 36193521.

Almost surely, 240644694080 is an apocalyptic number.

40644694080 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 40644694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74000563200).

40644694080 is an abundant number, since it is smaller than the sum of its proper divisors (107356432320).

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

40644694080 is a wasteful number, since it uses less digits than its factorization.

40644694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 40644694080 in words is "forty billion, six hundred forty-four million, six hundred ninety-four thousand, eighty".