40102122120104 has 64 divisors (see below), whose sum is σ = 84684347596800. Its totient is φ = 17637886929600.

The previous prime is 40102122120079. The next prime is 40102122120169.

40102122120104 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19648589 + ... + 21593315.

It is an arithmetic number, because the mean of its divisors is an integer number (1323192931200).

Almost surely, 2^{40102122120104} is an apocalyptic number.

40102122120104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40102122120104 is an abundant number, since it is smaller than the sum of its proper divisors (44582225476696).

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

40102122120104 is a wasteful number, since it uses less digits than its factorization.

40102122120104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952334 (or 1952330 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 4010212 and 2120104, that added together give a palindrome (6130316).

The spelling of 40102122120104 in words is "forty trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred four".