79123261501440 has 832 divisors, whose sum is σ = 312703558164480. Its totient is φ = 18848168017920.

The previous prime is 79123261501393. The next prime is 79123261501451. The reversal of 79123261501440 is 4410516232197.

79123261501440 is a `hidden beast` number, since 7 + 9 + 1 + 23 + 2 + 615 + 0 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222665349 + ... + 223020411.

Almost surely, 2^{79123261501440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79123261501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156351779082240).

79123261501440 is an abundant number, since it is smaller than the sum of its proper divisors (233580296663040).

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

79123261501440 is a wasteful number, since it uses less digits than its factorization.

79123261501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355145 (or 355117 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79123261501440 in words is "seventy-nine trillion, one hundred twenty-three billion, two hundred sixty-one million, five hundred one thousand, four hundred forty".