120464437036320 has 384 divisors, whose sum is σ = 455490690439680. Its totient is φ = 29559238225920.

The previous prime is 120464437036301. The next prime is 120464437036409. The reversal of 120464437036320 is 23630734464021.

120464437036320 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 6 + 4 + 4 + 3 + 7 + 0 + 3 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14419405 + ... + 21186035.

It is an arithmetic number, because the mean of its divisors is an integer number (1186173673020).

Almost surely, 2^{120464437036320} is an apocalyptic number.

120464437036320 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 120464437036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227745345219840).

120464437036320 is an abundant number, since it is smaller than the sum of its proper divisors (335026253403360).

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

120464437036320 is a wasteful number, since it uses less digits than its factorization.

120464437036320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766985 (or 6766971 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 120464437036320 in words is "one hundred twenty trillion, four hundred sixty-four billion, four hundred thirty-seven million, thirty-six thousand, three hundred twenty".