34166142000 has 240 divisors, whose sum is σ = 125612778720. Its totient is φ = 8631360000.

The previous prime is 34166141951. The next prime is 34166142061. The reversal of 34166142000 is 24166143.

34166142000 is a `hidden beast` number, since 3 + 41 + 6 + 614 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292050 + ... + 391950.

It is an arithmetic number, because the mean of its divisors is an integer number (523386578).

Almost surely, 2^34166142000 is an apocalyptic number.

34166142000 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 34166142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62806389360).

34166142000 is an abundant number, since it is smaller than the sum of its proper divisors (91446636720).

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

34166142000 is a wasteful number, since it uses less digits than its factorization.

34166142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99949 (or 99930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

It can be divided in two parts, 3416 and 6142000, that added together give a palindrome (6145416).

The spelling of 34166142000 in words is "thirty-four billion, one hundred sixty-six million, one hundred forty-two thousand".