431313401214520 has 256 divisors, whose sum is σ = 1137180040819200. Its totient is φ = 145568275200000.

The previous prime is 431313401214481. The next prime is 431313401214529. The reversal of 431313401214520 is 25412104313134.

It is a super-2 number, since 2×431313401214520² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431313401214529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126315142 + ... + 129684778.

It is an arithmetic number, because the mean of its divisors is an integer number (4442109534450).

Almost surely, 2^{431313401214520} is an apocalyptic number.

431313401214520 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 431313401214520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568590020409600).

431313401214520 is an abundant number, since it is smaller than the sum of its proper divisors (705866639604680).

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

431313401214520 is a wasteful number, since it uses less digits than its factorization.

431313401214520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369990 (or 3369986 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 431313401214520 its reverse (25412104313134), we get a palindrome (456725505527654).

The spelling of 431313401214520 in words is "four hundred thirty-one trillion, three hundred thirteen billion, four hundred one million, two hundred fourteen thousand, five hundred twenty".