40804101656640 has 1120 divisors, whose sum is σ = 181697480363520. Its totient is φ = 8475316125696.

The previous prime is 40804101656627. The next prime is 40804101656663. The reversal of 40804101656640 is 4665610140804.

40804101656640 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 41 + 0 + 1 + 6 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×40804101656640² (a number of 28 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 89221837 + ... + 89678003.

Almost surely, 2^{40804101656640} is an apocalyptic number.

40804101656640 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 40804101656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90848740181760).

40804101656640 is an abundant number, since it is smaller than the sum of its proper divisors (140893378706880).

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

40804101656640 is a wasteful number, since it uses less digits than its factorization.

40804101656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456249 (or 456230 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40804101656640 in words is "forty trillion, eight hundred four billion, one hundred one million, six hundred fifty-six thousand, six hundred forty".