431406366720 has 480 divisors, whose sum is σ = 1603920009216. Its totient is φ = 96967065600.

The previous prime is 431406366709. The next prime is 431406366733. The reversal of 431406366720 is 27663604134.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×431406366720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104937465 + ... + 104941575.

Almost surely, 2^431406366720 is an apocalyptic number.

431406366720 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 431406366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801960004608).

431406366720 is an abundant number, since it is smaller than the sum of its proper divisors (1172513642496).

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

431406366720 is an equidigital number, since it uses as much as digits as its factorization.

431406366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 431406366720 in words is "four hundred thirty-one billion, four hundred six million, three hundred sixty-six thousand, seven hundred twenty".