34125514100400 has 60 divisors (see below), whose sum is σ = 109315396838792. Its totient is φ = 9100137093120.

The previous prime is 34125514100387. The next prime is 34125514100453. The reversal of 34125514100400 is 400141552143.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14218963009 + ... + 14218965408.

Almost surely, 2^{34125514100400} is an apocalyptic number.

34125514100400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34125514100400 is an abundant number, since it is smaller than the sum of its proper divisors (75189882738392).

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

34125514100400 is a wasteful number, since it uses less digits than its factorization.

34125514100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28437928438 (or 28437928427 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 34125514100400 its reverse (400141552143), we get a palindrome (34525655652543).

The spelling of 34125514100400 in words is "thirty-four trillion, one hundred twenty-five billion, five hundred fourteen million, one hundred thousand, four hundred".