34439116130496 has 840 divisors, whose sum is σ = 133731220626432. Its totient is φ = 8656647552000.

The previous prime is 34439116130477. The next prime is 34439116130501. The reversal of 34439116130496 is 69403161193443.

34439116130496 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 9 + 1 + 16 + 130 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86420661 + ... + 86818251.

Almost surely, 2^{34439116130496} is an apocalyptic number.

34439116130496 is a gapful number since it is divisible by the number (36) 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 34439116130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66865610313216).

34439116130496 is an abundant number, since it is smaller than the sum of its proper divisors (99292104495936).

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

34439116130496 is a wasteful number, since it uses less digits than its factorization.

34439116130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397671 (or 397645 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 34439116130496 in words is "thirty-four trillion, four hundred thirty-nine billion, one hundred sixteen million, one hundred thirty thousand, four hundred ninety-six".