831305138400 has 1296 divisors, whose sum is σ = 3403750896000. Its totient is φ = 197782041600.

The previous prime is 831305138371. The next prime is 831305138401. The reversal of 831305138400 is 4831503138.

831305138400 is a `hidden beast` number, since 8 + 3 + 130 + 513 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831305138401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1387821301 + ... + 1387821899.

It is an arithmetic number, because the mean of its divisors is an integer number (2626351000).

Almost surely, 2^831305138400 is an apocalyptic number.

831305138400 is a gapful number since it is divisible by the number (80) 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 831305138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701875448000).

831305138400 is an abundant number, since it is smaller than the sum of its proper divisors (2572445757600).

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

831305138400 is a wasteful number, since it uses less digits than its factorization.

831305138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 831305138400 in words is "eight hundred thirty-one billion, three hundred five million, one hundred thirty-eight thousand, four hundred".