100414442000 has 40 divisors (see below), whose sum is σ = 242802125592. Its totient is φ = 40165776000.

The previous prime is 100414441999. The next prime is 100414442021. The reversal of 100414442000 is 244414001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5678526736 + 94735915264 = 75356^2 + 307792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25101611 + ... + 25105610.

Almost surely, 2^100414442000 is an apocalyptic number.

100414442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100414442000 is an abundant number, since it is smaller than the sum of its proper divisors (142387683592).

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

100414442000 is an equidigital number, since it uses as much as digits as its factorization.

100414442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50207244 (or 50207228 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100414442000 its reverse (244414001), we get a palindrome (100658856001).

The spelling of 100414442000 in words is "one hundred billion, four hundred fourteen million, four hundred forty-two thousand".