40991635281600 has 252 divisors, whose sum is σ = 148793824112544. Its totient is φ = 10698525911040.

The previous prime is 40991635281593. The next prime is 40991635281601. The reversal of 40991635281600 is 618253619904.

40991635281600 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 1 + 6 + 3 + 5 + 28 + 1 + 600 = 666.

It is a super-2 number, since 2×40991635281600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40991635281601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 29606619 + ... + 30960218.

Almost surely, 2^{40991635281600} is an apocalyptic number.

40991635281600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40991635281600 is an abundant number, since it is smaller than the sum of its proper divisors (107802188830944).

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

40991635281600 is a wasteful number, since it uses less digits than its factorization.

40991635281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60566912 (or 60566894 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 40991635281600 in words is "forty trillion, nine hundred ninety-one billion, six hundred thirty-five million, two hundred eighty-one thousand, six hundred".