40835795711360 has 512 divisors, whose sum is σ = 112003064046720. Its totient is φ = 14103706337280.

The previous prime is 40835795711351. The next prime is 40835795711363. The reversal of 40835795711360 is 6311759753804.

It is a happy number.

It is a super-2 number, since 2×40835795711360² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40835795711360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40835795711363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18452685614 + ... + 18452687826.

Almost surely, 2^{40835795711360} is an apocalyptic number.

40835795711360 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 40835795711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56001532023360).

40835795711360 is an abundant number, since it is smaller than the sum of its proper divisors (71167268335360).

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

40835795711360 is a wasteful number, since it uses less digits than its factorization.

40835795711360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 59.

The spelling of 40835795711360 in words is "forty trillion, eight hundred thirty-five billion, seven hundred ninety-five million, seven hundred eleven thousand, three hundred sixty".