34041017961192 has 128 divisors (see below), whose sum is σ = 93643438417920. Its totient is φ = 10311378968000.

The previous prime is 34041017961173. The next prime is 34041017961287. The reversal of 34041017961192 is 29116971014043.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81024067 + ... + 81443117.

It is an arithmetic number, because the mean of its divisors is an integer number (731589362640).

Almost surely, 2^{34041017961192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34041017961192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46821719208960).

34041017961192 is an abundant number, since it is smaller than the sum of its proper divisors (59602420456728).

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

34041017961192 is a wasteful number, since it uses less digits than its factorization.

34041017961192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421636 (or 421610 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 34041017961192 in words is "thirty-four trillion, forty-one billion, seventeen million, nine hundred sixty-one thousand, one hundred ninety-two".