79034941440 has 1536 divisors, whose sum is σ = 366408806400. Its totient is φ = 15288238080.

The previous prime is 79034941411. The next prime is 79034941441. The reversal of 79034941440 is 4414943097.

79034941440 is a `hidden beast` number, since 7 + 90 + 34 + 94 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79034941441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2549514225 + ... + 2549514255.

It is an arithmetic number, because the mean of its divisors is an integer number (238547400).

Almost surely, 2^79034941440 is an apocalyptic number.

79034941440 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 79034941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183204403200).

79034941440 is an abundant number, since it is smaller than the sum of its proper divisors (287373864960).

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

79034941440 is a wasteful number, since it uses less digits than its factorization.

79034941440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 79034941440 in words is "seventy-nine billion, thirty-four million, nine hundred forty-one thousand, four hundred forty".