79131911040 has 1536 divisors, whose sum is σ = 358387200000. Its totient is φ = 16484622336.

The previous prime is 79131910993. The next prime is 79131911071. The reversal of 79131911040 is 4011913197.

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

It is a junction number, because it is equal to n+sod(n) for n = 79131910986 and 79131911004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1001669721 + ... + 1001669799.

It is an arithmetic number, because the mean of its divisors is an integer number (233325000).

Almost surely, 2^79131911040 is an apocalyptic number.

79131911040 is a gapful number since it is divisible by the number (70) 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 79131911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179193600000).

79131911040 is an abundant number, since it is smaller than the sum of its proper divisors (279255288960).

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

79131911040 is a wasteful number, since it uses less digits than its factorization.

79131911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

It can be divided in two parts, 7913191 and 1040, that added together give a triangular number (7914231 = T₃₉₇₈).

The spelling of 79131911040 in words is "seventy-nine billion, one hundred thirty-one million, nine hundred eleven thousand, forty".