431121452520 has 128 divisors (see below), whose sum is σ = 1411325959680. Its totient is φ = 104485920000.

The previous prime is 431121452473. The next prime is 431121452521. The reversal of 431121452520 is 25254121134.

It is a super-2 number, since 2×431121452520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (431121452521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5040915 + ... + 5125725.

It is an arithmetic number, because the mean of its divisors is an integer number (11025984060).

Almost surely, 2^431121452520 is an apocalyptic number.

431121452520 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 431121452520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705662979840).

431121452520 is an abundant number, since it is smaller than the sum of its proper divisors (980204507160).

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

431121452520 is a wasteful number, since it uses less digits than its factorization.

431121452520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88687 (or 88683 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 431121452520 its reverse (25254121134), we get a palindrome (456375573654).

The spelling of 431121452520 in words is "four hundred thirty-one billion, one hundred twenty-one million, four hundred fifty-two thousand, five hundred twenty".