34101087134040 has 384 divisors, whose sum is σ = 115960688363520. Its totient is φ = 8681101516800.

The previous prime is 34101087134029. The next prime is 34101087134117. The reversal of 34101087134040 is 4043178010143.

34101087134040 is a `hidden beast` number, since 3 + 410 + 108 + 7 + 134 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34101087133986 and 34101087134004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332282335 + ... + 332384945.

It is an arithmetic number, because the mean of its divisors is an integer number (301980959280).

Almost surely, 2^{34101087134040} is an apocalyptic number.

34101087134040 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 34101087134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57980344181760).

34101087134040 is an abundant number, since it is smaller than the sum of its proper divisors (81859601229480).

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

34101087134040 is a wasteful number, since it uses less digits than its factorization.

34101087134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103063 (or 103056 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 34101087134040 in words is "thirty-four trillion, one hundred one billion, eighty-seven million, one hundred thirty-four thousand, forty".