251226432420 has 48 divisors (see below), whose sum is σ = 710398721088. Its totient is φ = 66330409600.

The previous prime is 251226432343. The next prime is 251226432449. The reversal of 251226432420 is 24234622152.

251226432420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×251226432420² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20722194 + ... + 20734313.

It is an arithmetic number, because the mean of its divisors is an integer number (14799973356).

Almost surely, 2^251226432420 is an apocalyptic number.

251226432420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251226432420 is an abundant number, since it is smaller than the sum of its proper divisors (459172288668).

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

251226432420 is a wasteful number, since it uses less digits than its factorization.

251226432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41456620 (or 41456618 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 251226432420 in words is "two hundred fifty-one billion, two hundred twenty-six million, four hundred thirty-two thousand, four hundred twenty".