431425030400 has 432 divisors, whose sum is σ = 1317358850304. Its totient is φ = 136218378240.

The previous prime is 431425030369. The next prime is 431425030417. The reversal of 431425030400 is 4030524134.

It is a super-2 number, since 2×431425030400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 431425030400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432722702 + ... + 432723698.

Almost surely, 2^431425030400 is an apocalyptic number.

431425030400 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 431425030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658679425152).

431425030400 is an abundant number, since it is smaller than the sum of its proper divisors (885933819904).

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

431425030400 is a wasteful number, since it uses less digits than its factorization.

431425030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 431425030400 its reverse (4030524134), we get a palindrome (435455554534).

The spelling of 431425030400 in words is "four hundred thirty-one billion, four hundred twenty-five million, thirty thousand, four hundred".