431268941390400 has 840 divisors, whose sum is σ = 1625126369898240. Its totient is φ = 112129740840960.

The previous prime is 431268941390389. The next prime is 431268941390407. The reversal of 431268941390400 is 4093149862134.

431268941390400 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 68 + 94 + 1 + 3 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (431268941390407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1601850996 + ... + 1602120204.

Almost surely, 2^{431268941390400} is an apocalyptic number.

431268941390400 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 431268941390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812563184949120).

431268941390400 is an abundant number, since it is smaller than the sum of its proper divisors (1193857428507840).

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

431268941390400 is a wasteful number, since it uses less digits than its factorization.

431268941390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269553 (or 269529 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 431268941390400 in words is "four hundred thirty-one trillion, two hundred sixty-eight billion, nine hundred forty-one million, three hundred ninety thousand, four hundred".