431220454025016 has 192 divisors, whose sum is σ = 1165111688966400. Its totient is φ = 132721861105152.

The previous prime is 431220454024931. The next prime is 431220454025129. The reversal of 431220454025016 is 610520454022134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86591655 + ... + 91436073.

It is an arithmetic number, because the mean of its divisors is an integer number (6068290046700).

Almost surely, 2^{431220454025016} is an apocalyptic number.

431220454025016 is a gapful number since it is divisible by the number (46) 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 431220454025016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582555844483200).

431220454025016 is an abundant number, since it is smaller than the sum of its proper divisors (733891234941384).

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

431220454025016 is a wasteful number, since it uses less digits than its factorization.

431220454025016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844618 (or 4844567 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 431220454025016 in words is "four hundred thirty-one trillion, two hundred twenty billion, four hundred fifty-four million, twenty-five thousand, sixteen".