431004542400 has 1008 divisors, whose sum is σ = 1717196565600. Its totient is φ = 105020375040.

The previous prime is 431004542389. The next prime is 431004542417. The reversal of 431004542400 is 4245400134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 452260324 + ... + 452261276.

Almost surely, 2^431004542400 is an apocalyptic number.

431004542400 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 431004542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858598282800).

431004542400 is an abundant number, since it is smaller than the sum of its proper divisors (1286192023200).

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

431004542400 is a wasteful number, since it uses less digits than its factorization.

431004542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 431004542400 its reverse (4245400134), we get a palindrome (435249942534).

The spelling of 431004542400 in words is "four hundred thirty-one billion, four million, five hundred forty-two thousand, four hundred".