431130200688 has 240 divisors, whose sum is σ = 1339102482432. Its totient is φ = 128381760000.

The previous prime is 431130200651. The next prime is 431130200723. The reversal of 431130200688 is 886002031134.

431130200688 is a `hidden beast` number, since 431 + 13 + 0 + 200 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 188512281 + ... + 188514567.

Almost surely, 2^431130200688 is an apocalyptic number.

431130200688 is a gapful number since it is divisible by the number (48) 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 431130200688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669551241216).

431130200688 is an abundant number, since it is smaller than the sum of its proper divisors (907972281744).

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

431130200688 is a wasteful number, since it uses less digits than its factorization.

431130200688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 431130200688 in words is "four hundred thirty-one billion, one hundred thirty million, two hundred thousand, six hundred eighty-eight".