431781480526080 has 1152 divisors, whose sum is σ = 1566303043092480. Its totient is φ = 100795707555840.

The previous prime is 431781480526069. The next prime is 431781480526159. The reversal of 431781480526080 is 80625084187134.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 431781480526080.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30848137642 + ... + 30848151638.

It is an arithmetic number, because the mean of its divisors is an integer number (1359638058240).

Almost surely, 2^{431781480526080} is an apocalyptic number.

431781480526080 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 431781480526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783151521546240).

431781480526080 is an abundant number, since it is smaller than the sum of its proper divisors (1134521562566400).

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

431781480526080 is a wasteful number, since it uses less digits than its factorization.

431781480526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14687 (or 14673 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 431781480526080 in words is "four hundred thirty-one trillion, seven hundred eighty-one billion, four hundred eighty million, five hundred twenty-six thousand, eighty".