79391419116240 has 1280 divisors, whose sum is σ = 330662493388800. Its totient is φ = 15260352307200.

The previous prime is 79391419116161. The next prime is 79391419116277. The reversal of 79391419116240 is 4261191419397.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3926564851 + ... + 3926585069.

It is an arithmetic number, because the mean of its divisors is an integer number (258330072960).

Almost surely, 2^{79391419116240} is an apocalyptic number.

79391419116240 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 79391419116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165331246694400).

79391419116240 is an abundant number, since it is smaller than the sum of its proper divisors (251271074272560).

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

79391419116240 is a wasteful number, since it uses less digits than its factorization.

79391419116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20536 (or 20530 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 79391419116240 in words is "seventy-nine trillion, three hundred ninety-one billion, four hundred nineteen million, one hundred sixteen thousand, two hundred forty".