34139668492800 has 1200 divisors, whose sum is σ = 140464084223232. Its totient is φ = 8132426956800.

The previous prime is 34139668492799. The next prime is 34139668492889. The reversal of 34139668492800 is 829486693143.

34139668492800 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 9 + 6 + 68 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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, 417789547 + ... + 417871253.

Almost surely, 2^{34139668492800} is an apocalyptic number.

34139668492800 is a gapful number since it is divisible by the number (30) 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 34139668492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70232042111616).

34139668492800 is an abundant number, since it is smaller than the sum of its proper divisors (106324415730432).

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

34139668492800 is a wasteful number, since it uses less digits than its factorization.

34139668492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81791 (or 81761 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 34139668492800 in words is "thirty-four trillion, one hundred thirty-nine billion, six hundred sixty-eight million, four hundred ninety-two thousand, eight hundred".