10414588102000 has 40 divisors (see below), whose sum is σ = 25182474035472. Its totient is φ = 4165835240000.

The previous prime is 10414588101979. The next prime is 10414588102063. The reversal of 10414588102000 is 20188541401.

It is a happy number.

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

It is a congruent number.

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, 2603645026 + ... + 2603649025.

Almost surely, 2^{10414588102000} is an apocalyptic number.

10414588102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414588102000 is an abundant number, since it is smaller than the sum of its proper divisors (14767885933472).

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

10414588102000 is an equidigital number, since it uses as much as digits as its factorization.

10414588102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207294074 (or 5207294058 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The spelling of 10414588102000 in words is "ten trillion, four hundred fourteen billion, five hundred eighty-eight million, one hundred two thousand".