431216040000 has 560 divisors, whose sum is σ = 1469802162752. Its totient is φ = 111476736000.

The previous prime is 431216039999. The next prime is 431216040029. The reversal of 431216040000 is 40612134.

It is a super-3 number, since 3×431216040000³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 995879784 + ... + 995880216.

Almost surely, 2^431216040000 is an apocalyptic number.

431216040000 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 431216040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734901081376).

431216040000 is an abundant number, since it is smaller than the sum of its proper divisors (1038586122752).

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

431216040000 is a wasteful number, since it uses less digits than its factorization.

431216040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 431216040000 its reverse (40612134), we get a palindrome (431256652134).

The spelling of 431216040000 in words is "four hundred thirty-one billion, two hundred sixteen million, forty thousand".