431420040324 has 192 divisors, whose sum is σ = 1382682470400. Its totient is φ = 113279285376.

The previous prime is 431420040263. The next prime is 431420040329. The reversal of 431420040324 is 423040024134.

It is a happy number.

431420040324 is a `hidden beast` number, since 4 + 31 + 4 + 200 + 403 + 24 = 666.

It is a super-2 number, since 2×431420040324² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (431420040329) 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, 2134267 + ... + 2327645.

It is an arithmetic number, because the mean of its divisors is an integer number (7201471200).

Almost surely, 2^431420040324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431420040324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691341235200).

431420040324 is an abundant number, since it is smaller than the sum of its proper divisors (951262430076).

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

431420040324 is a wasteful number, since it uses less digits than its factorization.

431420040324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193639 (or 193631 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 431420040324 its reverse (423040024134), we get a palindrome (854460064458).

The spelling of 431420040324 in words is "four hundred thirty-one billion, four hundred twenty million, forty thousand, three hundred twenty-four".