431290136850 has 192 divisors, whose sum is σ = 1141449656832. Its totient is φ = 107395200000.

The previous prime is 431290136831. The next prime is 431290136957. The reversal of 431290136850 is 58631092134.

It is a super-2 number, since 2×431290136850² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191598225 + ... + 191600475.

It is an arithmetic number, because the mean of its divisors is an integer number (5945050296).

Almost surely, 2^431290136850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431290136850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570724828416).

431290136850 is an abundant number, since it is smaller than the sum of its proper divisors (710159519982).

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

431290136850 is a wasteful number, since it uses less digits than its factorization.

431290136850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 431290136850 in words is "four hundred thirty-one billion, two hundred ninety million, one hundred thirty-six thousand, eight hundred fifty".