2414032089900 has 144 divisors (see below), whose sum is σ = 7317521648640. Its totient is φ = 613677715200.

The previous prime is 2414032089851. The next prime is 2414032089913. The reversal of 2414032089900 is 99802304142.

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 47 ways as a sum of consecutive naturals, for example, 1314015 + ... + 2560214.

It is an arithmetic number, because the mean of its divisors is an integer number (50816122560).

Almost surely, 2^{2414032089900} is an apocalyptic number.

2414032089900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414032089900 is an abundant number, since it is smaller than the sum of its proper divisors (4903489558740).

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

2414032089900 is a wasteful number, since it uses less digits than its factorization.

2414032089900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874344 (or 3874337 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 2414032089900 in words is "two trillion, four hundred fourteen billion, thirty-two million, eighty-nine thousand, nine hundred".