426513230025120 has 144 divisors (see below), whose sum is σ = 1663401597137280. Its totient is φ = 97488738289152.

The previous prime is 426513230025067. The next prime is 426513230025137. The reversal of 426513230025120 is 21520032315624.

426513230025120 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 132 + 3 + 0 + 0 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21156400140 + ... + 21156420299.

It is an arithmetic number, because the mean of its divisors is an integer number (11551399980120).

Almost surely, 2^{426513230025120} is an apocalyptic number.

426513230025120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426513230025120 is an abundant number, since it is smaller than the sum of its proper divisors (1236888367112160).

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

426513230025120 is a wasteful number, since it uses less digits than its factorization.

426513230025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42312820467 (or 42312820456 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 426513230025120 in words is "four hundred twenty-six trillion, five hundred thirteen billion, two hundred thirty million, twenty-five thousand, one hundred twenty".