414144834900 has 72 divisors (see below), whose sum is σ = 1198779564864. Its totient is φ = 110390649600.

The previous prime is 414144834889. The next prime is 414144834911. The reversal of 414144834900 is 9438441414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (414144834889) and next prime (414144834911).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 394624 + ... + 991976.

Almost surely, 2^414144834900 is an apocalyptic number.

It is an amenable number.

414144834900 is an abundant number, since it is smaller than the sum of its proper divisors (784634729964).

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

414144834900 is a wasteful number, since it uses less digits than its factorization.

414144834900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599681 (or 599674 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 414144834900 in words is "four hundred fourteen billion, one hundred forty-four million, eight hundred thirty-four thousand, nine hundred".