107459722440720 has 120 divisors (see below), whose sum is σ = 388645996194456. Its totient is φ = 26451623983104.

The previous prime is 107459722440671. The next prime is 107459722440737. The reversal of 107459722440720 is 27044227954701.

107459722440720 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 5 + 9 + 7 + 224 + 407 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8463351545856 + 98996370894864 = 2909184^2 + 9949692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5740360429 + ... + 5740379148.

Almost surely, 2^{107459722440720} is an apocalyptic number.

107459722440720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107459722440720 is an abundant number, since it is smaller than the sum of its proper divisors (281186273753736).

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

107459722440720 is a wasteful number, since it uses less digits than its factorization.

107459722440720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11480739609 (or 11480739600 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 107459722440720 in words is "one hundred seven trillion, four hundred fifty-nine billion, seven hundred twenty-two million, four hundred forty thousand, seven hundred twenty".