431122220040 has 192 divisors, whose sum is σ = 1370679710400. Its totient is φ = 108180748800.

The previous prime is 431122220033. The next prime is 431122220057. The reversal of 431122220040 is 40022221134.

It is a super-2 number, since 2×431122220040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431122219989 and 431122220016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51982134 + ... + 51990426.

It is an arithmetic number, because the mean of its divisors is an integer number (7138956825).

Almost surely, 2^431122220040 is an apocalyptic number.

431122220040 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 431122220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685339855200).

431122220040 is an abundant number, since it is smaller than the sum of its proper divisors (939557490360).

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

431122220040 is a wasteful number, since it uses less digits than its factorization.

431122220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8628 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 431122220040 its reverse (40022221134), we get a palindrome (471144441174).

The spelling of 431122220040 in words is "four hundred thirty-one billion, one hundred twenty-two million, two hundred twenty thousand, forty".