40935939545600 has 480 divisors, whose sum is σ = 111972240103680. Its totient is φ = 14707630080000.

The previous prime is 40935939545521. The next prime is 40935939545609. The reversal of 40935939545600 is 654593953904.

It is a happy number.

It is a super-2 number, since 2×40935939545600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40935939545609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5724502025 + ... + 5724509175.

It is an arithmetic number, because the mean of its divisors is an integer number (233275500216).

Almost surely, 2^{40935939545600} is an apocalyptic number.

40935939545600 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 40935939545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55986120051840).

40935939545600 is an abundant number, since it is smaller than the sum of its proper divisors (71036300558080).

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

40935939545600 is a wasteful number, since it uses less digits than its factorization.

40935939545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7672 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 62.

The spelling of 40935939545600 in words is "forty trillion, nine hundred thirty-five billion, nine hundred thirty-nine million, five hundred forty-five thousand, six hundred".