107742764944440 has 256 divisors, whose sum is σ = 374354325043200. Its totient is φ = 27537641860608.

The previous prime is 107742764944417. The next prime is 107742764944511. The reversal of 107742764944440 is 44449467247701.

It is a happy number.

107742764944440 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 42 + 7 + 64 + 94 + 4 + 440 = 666.

It is a congruent number.

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, 17444064 + ... + 22798703.

It is an arithmetic number, because the mean of its divisors is an integer number (1462321582200).

Almost surely, 2^{107742764944440} is an apocalyptic number.

107742764944440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107742764944440 is an abundant number, since it is smaller than the sum of its proper divisors (266611560098760).

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

107742764944440 is a wasteful number, since it uses less digits than its factorization.

107742764944440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40242891 (or 40242881 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 107742764944440 in words is "one hundred seven trillion, seven hundred forty-two billion, seven hundred sixty-four million, nine hundred forty-four thousand, four hundred forty".