431394008640 has 336 divisors, whose sum is σ = 1598001489792. Its totient is φ = 98600656896.

The previous prime is 431394008627. The next prime is 431394008651. The reversal of 431394008640 is 46800493134.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×431394008640² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 431394008592 and 431394008601.

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, 16121352 + ... + 16148088.

Almost surely, 2^431394008640 is an apocalyptic number.

431394008640 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 431394008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799000744896).

431394008640 is an abundant number, since it is smaller than the sum of its proper divisors (1166607481152).

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

431394008640 is an frugal number, since it uses more digits than its factorization.

431394008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26792 (or 26754 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 431394008640 in words is "four hundred thirty-one billion, three hundred ninety-four million, eight thousand, six hundred forty".