431331352221040 has 80 divisors (see below), whose sum is σ = 1027325111984640. Its totient is φ = 168321140951040.

The previous prime is 431331352221031. The next prime is 431331352221127. The reversal of 431331352221040 is 40122253133134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 431331352220987 and 431331352221005.

It is a congruent number.

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, 170078641 + ... + 172596079.

It is an arithmetic number, because the mean of its divisors is an integer number (12841563899808).

Almost surely, 2^{431331352221040} is an apocalyptic number.

431331352221040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431331352221040 is an abundant number, since it is smaller than the sum of its proper divisors (595993759763600).

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

431331352221040 is a wasteful number, since it uses less digits than its factorization.

431331352221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569730 (or 2569724 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 431331352221040 in words is "four hundred thirty-one trillion, three hundred thirty-one billion, three hundred fifty-two million, two hundred twenty-one thousand, forty".