3156431120640 has 864 divisors, whose sum is σ = 13506283155456. Its totient is φ = 690090762240.

The previous prime is 3156431120621. The next prime is 3156431120677. The reversal of 3156431120640 is 460211346513.

3156431120640 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 4 + 3 + 1 + 1 + 2 + 0 + 640 = 666.

3156431120640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3156431120595 and 3156431120604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50045925 + ... + 50108955.

Almost surely, 2^{3156431120640} is an apocalyptic number.

3156431120640 is a gapful number since it is divisible by the number (30) 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 3156431120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753141577728).

3156431120640 is an abundant number, since it is smaller than the sum of its proper divisors (10349852034816).

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

3156431120640 is an equidigital number, since it uses as much as digits as its factorization.

3156431120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63097 (or 63071 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3156431120640 in words is "three trillion, one hundred fifty-six billion, four hundred thirty-one million, one hundred twenty thousand, six hundred forty".