79405914240 has 192 divisors, whose sum is σ = 274653849600. Its totient is φ = 21139752960.

The previous prime is 79405914223. The next prime is 79405914257. The reversal of 79405914240 is 4241950497.

It is an interprime number because it is at equal distance from previous prime (79405914223) and next prime (79405914257).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 3554305 + ... + 3576575.

It is an arithmetic number, because the mean of its divisors is an integer number (1430488800).

Almost surely, 2^79405914240 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 79405914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137326924800).

79405914240 is an abundant number, since it is smaller than the sum of its proper divisors (195247935360).

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

79405914240 is a wasteful number, since it uses less digits than its factorization.

79405914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22915 (or 22900 counting only the distinct ones).

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

The spelling of 79405914240 in words is "seventy-nine billion, four hundred five million, nine hundred fourteen thousand, two hundred forty".