1307972417920 has 128 divisors (see below), whose sum is σ = 3593533766400. Its totient is φ = 445942118400.

The previous prime is 1307972417911. The next prime is 1307972417953. The reversal of 1307972417920 is 297142797031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1307972417920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 13606 + ... + 1617445.

It is an arithmetic number, because the mean of its divisors is an integer number (28074482550).

Almost surely, 2^{1307972417920} is an apocalyptic number.

1307972417920 is a gapful number since it is divisible by the number (10) 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 1307972417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796766883200).

1307972417920 is an abundant number, since it is smaller than the sum of its proper divisors (2285561348480).

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

1307972417920 is a wasteful number, since it uses less digits than its factorization.

1307972417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631256 (or 1631244 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 52.

The spelling of 1307972417920 in words is "one trillion, three hundred seven billion, nine hundred seventy-two million, four hundred seventeen thousand, nine hundred twenty".