120079405670400 has 5292 divisors, whose sum is σ = 543971999329416. Its totient is φ = 26206588108800.

The previous prime is 120079405670359. The next prime is 120079405670447. The reversal of 120079405670400 is 4076504970021.

120079405670400 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 9 + 40 + 567 + 0 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 5220843724789 + ... + 5220843724811.

Almost surely, 2^{120079405670400} is an apocalyptic number.

120079405670400 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 120079405670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271985999664708).

120079405670400 is an abundant number, since it is smaller than the sum of its proper divisors (423892593659016).

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

120079405670400 is an equidigital number, since it uses as much as digits as its factorization.

120079405670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 120079405670400 in words is "one hundred twenty trillion, seventy-nine billion, four hundred five million, six hundred seventy thousand, four hundred".