40108139746920 has 384 divisors, whose sum is σ = 150880231756800. Its totient is φ = 9050245281792.

The previous prime is 40108139746903. The next prime is 40108139746921. The reversal of 40108139746920 is 2964793180104.

40108139746920 is a `hidden beast` number, since 4 + 0 + 10 + 81 + 3 + 97 + 469 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (40108139746921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2510988054 + ... + 2511004026.

It is an arithmetic number, because the mean of its divisors is an integer number (392917270200).

Almost surely, 2^{40108139746920} is an apocalyptic number.

40108139746920 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 40108139746920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75440115878400).

40108139746920 is an abundant number, since it is smaller than the sum of its proper divisors (110772092009880).

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

40108139746920 is a wasteful number, since it uses less digits than its factorization.

40108139746920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28689 (or 28682 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 40108139746920 in words is "forty trillion, one hundred eight billion, one hundred thirty-nine million, seven hundred forty-six thousand, nine hundred twenty".