431430386959872 has 640 divisors, whose sum is σ = 1329803955849600. Its totient is φ = 137937745870848.

The previous prime is 431430386959861. The next prime is 431430386959889. The reversal of 431430386959872 is 278959683034134.

It is a happy number.

431430386959872 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 3 + 0 + 386 + 95 + 98 + 72 = 666.

It is a super-2 number, since 2×431430386959872² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 431430386959872.

It is a congruent number.

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, 164856852708 + ... + 164856855324.

It is an arithmetic number, because the mean of its divisors is an integer number (2077818681015).

It is a 1-persistent number, because it is pandigital, but 2⋅431430386959872 = 862860773919744 is not.

Almost surely, 2^{431430386959872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431430386959872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664901977924800).

431430386959872 is an abundant number, since it is smaller than the sum of its proper divisors (898373568889728).

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

431430386959872 is a wasteful number, since it uses less digits than its factorization.

431430386959872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 431430386959872 in words is "four hundred thirty-one trillion, four hundred thirty billion, three hundred eighty-six million, nine hundred fifty-nine thousand, eight hundred seventy-two".