431886290264640 has 1008 divisors, whose sum is σ = 1639368282449664. Its totient is φ = 107992590336000.

The previous prime is 431886290264629. The next prime is 431886290264647. The reversal of 431886290264640 is 46462092688134.

It is a happy number.

431886290264640 is a `hidden beast` number, since 4 + 3 + 1 + 8 + 8 + 62 + 90 + 26 + 464 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (431886290264647) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 9672466315 + ... + 9672510965.

Almost surely, 2^{431886290264640} is an apocalyptic number.

431886290264640 is a gapful number since it is divisible by the number (40) 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 431886290264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819684141224832).

431886290264640 is an abundant number, since it is smaller than the sum of its proper divisors (1207481992185024).

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

431886290264640 is an equidigital number, since it uses as much as digits as its factorization.

431886290264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44980 (or 44949 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 431886290264640 in words is "four hundred thirty-one trillion, eight hundred eighty-six billion, two hundred ninety million, two hundred sixty-four thousand, six hundred forty".