431044454880 has 960 divisors, whose sum is σ = 1681962625728. Its totient is φ = 103315046400.

The previous prime is 431044454851. The next prime is 431044454927. The reversal of 431044454880 is 88454440134.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1242202867 + ... + 1242203213.

Almost surely, 2^431044454880 is an apocalyptic number.

431044454880 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 431044454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840981312864).

431044454880 is an abundant number, since it is smaller than the sum of its proper divisors (1250918170848).

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

431044454880 is a wasteful number, since it uses less digits than its factorization.

431044454880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 431044454880 in words is "four hundred thirty-one billion, forty-four million, four hundred fifty-four thousand, eight hundred eighty".