34125144250410 has 48 divisors (see below), whose sum is σ = 89794355493024. Its totient is φ = 8990399447136.

The previous prime is 34125144250339. The next prime is 34125144250427. The reversal of 34125144250410 is 1405244152143.

34125144250410 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 5 + 144 + 2 + 504 + 1 + 0 = 666.

It is a super-2 number, since 2×34125144250410² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2284138732 + ... + 2284153671.

It is an arithmetic number, because the mean of its divisors is an integer number (1870715739438).

Almost surely, 2^{34125144250410} is an apocalyptic number.

34125144250410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34125144250410 is an abundant number, since it is smaller than the sum of its proper divisors (55669211242614).

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

34125144250410 is a wasteful number, since it uses less digits than its factorization.

34125144250410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568292499 (or 4568292496 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 34125144250410 in words is "thirty-four trillion, one hundred twenty-five billion, one hundred forty-four million, two hundred fifty thousand, four hundred ten".