631039421301120 has 1280 divisors, whose sum is σ = 2468504273114880. Its totient is φ = 152674078556160.

The previous prime is 631039421300993. The next prime is 631039421301131. The reversal of 631039421301120 is 21103124930136.

631039421301120 is a `hidden beast` number, since 6 + 3 + 10 + 394 + 2 + 130 + 1 + 120 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65075732112 + ... + 65075741808.

It is an arithmetic number, because the mean of its divisors is an integer number (1928518963371).

Almost surely, 2^{631039421301120} is an apocalyptic number.

631039421301120 is a gapful number since it is divisible by the number (60) 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 631039421301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234252136557440).

631039421301120 is an abundant number, since it is smaller than the sum of its proper divisors (1837464851813760).

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

631039421301120 is a wasteful number, since it uses less digits than its factorization.

631039421301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11385 (or 11364 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 631039421301120 in words is "six hundred thirty-one trillion, thirty-nine billion, four hundred twenty-one million, three hundred one thousand, one hundred twenty".