431220000090 has 128 divisors (see below), whose sum is σ = 1139906027520. Its totient is φ = 103533696000.

The previous prime is 431220000049. The next prime is 431220000091. The reversal of 431220000090 is 90000022134.

It is not an unprimeable number, because it can be changed into a prime (431220000091) 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 63 ways as a sum of consecutive naturals, for example, 16779871 + ... + 16805549.

It is an arithmetic number, because the mean of its divisors is an integer number (8905515840).

Almost surely, 2^431220000090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431220000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569953013760).

431220000090 is an abundant number, since it is smaller than the sum of its proper divisors (708686027430).

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

431220000090 is a wasteful number, since it uses less digits than its factorization.

431220000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26188.

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 431220000090 in words is "four hundred thirty-one billion, two hundred twenty million, ninety", and thus it is an aban number.