431828725625280 has 2240 divisors, whose sum is σ = 1630948992583680. Its totient is φ = 108790743859200.

The previous prime is 431828725625257. The next prime is 431828725625287. The reversal of 431828725625280 is 82526527828134.

431828725625280 is a `hidden beast` number, since 4 + 3 + 1 + 8 + 2 + 87 + 25 + 6 + 2 + 528 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431828725625287) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1244463186067 + ... + 1244463186413.

It is an arithmetic number, because the mean of its divisors is an integer number (728102228832).

Almost surely, 2^{431828725625280} is an apocalyptic number.

431828725625280 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 431828725625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815474496291840).

431828725625280 is an abundant number, since it is smaller than the sum of its proper divisors (1199120266958400).

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

431828725625280 is an frugal number, since it uses more digits than its factorization.

431828725625280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 431828725625280 in words is "four hundred thirty-one trillion, eight hundred twenty-eight billion, seven hundred twenty-five million, six hundred twenty-five thousand, two hundred eighty".