40107195103360 has 512 divisors, whose sum is σ = 128758321612800. Its totient is φ = 11567569305600.

The previous prime is 40107195103343. The next prime is 40107195103397. The reversal of 40107195103360 is 6330159170104.

It is a super-2 number, since 2×40107195103360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 39763680 + ... + 40759840.

It is an arithmetic number, because the mean of its divisors is an integer number (251481096900).

Almost surely, 2^{40107195103360} is an apocalyptic number.

40107195103360 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 40107195103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64379160806400).

40107195103360 is an abundant number, since it is smaller than the sum of its proper divisors (88651126509440).

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

40107195103360 is a wasteful number, since it uses less digits than its factorization.

40107195103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996260 (or 996248 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 40107195103360 in words is "forty trillion, one hundred seven billion, one hundred ninety-five million, one hundred three thousand, three hundred sixty".