431221300400 has 180 divisors, whose sum is σ = 1158062467800. Its totient is φ = 154148966400.

The previous prime is 431221300397. The next prime is 431221300427. The reversal of 431221300400 is 4003122134.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 2780096 + ... + 2931104.

Almost surely, 2^431221300400 is an apocalyptic number.

431221300400 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 431221300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579031233900).

431221300400 is an abundant number, since it is smaller than the sum of its proper divisors (726841167400).

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

431221300400 is a wasteful number, since it uses less digits than its factorization.

431221300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151108 (or 151086 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 431221300400 its reverse (4003122134), we get a palindrome (435224422534).

The spelling of 431221300400 in words is "four hundred thirty-one billion, two hundred twenty-one million, three hundred thousand, four hundred".