431423423122400 has 288 divisors, whose sum is σ = 1065471280473600. Its totient is φ = 170574094080000.

The previous prime is 431423423122399. The next prime is 431423423122429. The reversal of 431423423122400 is 4221324324134.

It is a happy number.

It is a super-2 number, since 2×431423423122400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 22214264690 + ... + 22214284110.

It is an arithmetic number, because the mean of its divisors is an integer number (3699553057200).

Almost surely, 2^{431423423122400} is an apocalyptic number.

431423423122400 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 431423423122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532735640236800).

431423423122400 is an abundant number, since it is smaller than the sum of its proper divisors (634047857351200).

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

431423423122400 is a wasteful number, since it uses less digits than its factorization.

431423423122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20498 (or 20485 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 431423423122400 its reverse (4221324324134), we get a palindrome (435644747446534).

The spelling of 431423423122400 in words is "four hundred thirty-one trillion, four hundred twenty-three billion, four hundred twenty-three million, one hundred twenty-two thousand, four hundred".