34142132482600 has 48 divisors (see below), whose sum is σ = 81316566773820. Its totient is φ = 13323759014400.

The previous prime is 34142132482543. The next prime is 34142132482631. The reversal of 34142132482600 is 628423124143.

It can be written as a sum of positive squares in 6 ways, for example, as 4698030240036 + 29444102242564 = 2167494^2 + 5426242^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 2081829147 + ... + 2081845546.

Almost surely, 2^{34142132482600} is an apocalyptic number.

It is an amenable number.

34142132482600 is an abundant number, since it is smaller than the sum of its proper divisors (47174434291220).

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

34142132482600 is a wasteful number, since it uses less digits than its factorization.

34142132482600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163674750 (or 4163674741 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 34142132482600 in words is "thirty-four trillion, one hundred forty-two billion, one hundred thirty-two million, four hundred eighty-two thousand, six hundred".