831404661120 has 384 divisors, whose sum is σ = 3134153861280. Its totient is φ = 201410150400.

The previous prime is 831404661103. The next prime is 831404661127. The reversal of 831404661120 is 21166404138.

831404661120 is a `hidden beast` number, since 8 + 3 + 14 + 0 + 4 + 6 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (831404661127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110305992 + ... + 110313528.

Almost surely, 2^831404661120 is an apocalyptic number.

831404661120 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 831404661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567076930640).

831404661120 is an abundant number, since it is smaller than the sum of its proper divisors (2302749200160).

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

831404661120 is a wasteful number, since it uses less digits than its factorization.

831404661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9299 counting only the distinct ones).

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

The spelling of 831404661120 in words is "eight hundred thirty-one billion, four hundred four million, six hundred sixty-one thousand, one hundred twenty".