414451252100 has 36 divisors (see below), whose sum is σ = 899573704848. Its totient is φ = 165740964000.

The previous prime is 414451252093. The next prime is 414451252153. The reversal of 414451252100 is 1252154414.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71006 + ... + 913205.

It is an arithmetic number, because the mean of its divisors is an integer number (24988158468).

Almost surely, 2^414451252100 is an apocalyptic number.

It is an amenable number.

414451252100 is an abundant number, since it is smaller than the sum of its proper divisors (485122452748).

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

414451252100 is a wasteful number, since it uses less digits than its factorization.

414451252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988436 (or 988429 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The spelling of 414451252100 in words is "four hundred fourteen billion, four hundred fifty-one million, two hundred fifty-two thousand, one hundred".