431132254244400 has 480 divisors, whose sum is σ = 1453332769320960. Its totient is φ = 109098782208000.

The previous prime is 431132254244243. The next prime is 431132254244441. The reversal of 431132254244400 is 4442452231134.

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, 3527131285 + ... + 3527253515.

It is an arithmetic number, because the mean of its divisors is an integer number (3027776602752).

Almost surely, 2^{431132254244400} is an apocalyptic number.

431132254244400 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 431132254244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726666384660480).

431132254244400 is an abundant number, since it is smaller than the sum of its proper divisors (1022200515076560).

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

431132254244400 is a wasteful number, since it uses less digits than its factorization.

431132254244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124125 (or 124114 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 431132254244400 in words is "four hundred thirty-one trillion, one hundred thirty-two billion, two hundred fifty-four million, two hundred forty-four thousand, four hundred".