34404155403114 has 192 divisors, whose sum is σ = 85885898353920. Its totient is φ = 8991819694080.

The previous prime is 34404155403073. The next prime is 34404155403143. The reversal of 34404155403114 is 41130455140443.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422568042 + ... + 422649450.

It is an arithmetic number, because the mean of its divisors is an integer number (447322387260).

Almost surely, 2^{34404155403114} is an apocalyptic number.

34404155403114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34404155403114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42942949176960).

34404155403114 is an abundant number, since it is smaller than the sum of its proper divisors (51481742950806).

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

34404155403114 is a wasteful number, since it uses less digits than its factorization.

34404155403114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82433 (or 82416 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 34404155403114 in words is "thirty-four trillion, four hundred four billion, one hundred fifty-five million, four hundred three thousand, one hundred fourteen".