431898878320 has 320 divisors, whose sum is σ = 1263010662144. Its totient is φ = 133705728000.

The previous prime is 431898878317. The next prime is 431898878329. The reversal of 431898878320 is 23878898134.

It is a super-3 number, since 3×431898878320³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431898878329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143916820 + ... + 143919820.

Almost surely, 2^431898878320 is an apocalyptic number.

431898878320 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 431898878320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631505331072).

431898878320 is an abundant number, since it is smaller than the sum of its proper divisors (831111783824).

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

431898878320 is a wasteful number, since it uses less digits than its factorization.

431898878320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 431898878320 in words is "four hundred thirty-one billion, eight hundred ninety-eight million, eight hundred seventy-eight thousand, three hundred twenty".