10402688614000 has 80 divisors (see below), whose sum is σ = 25201798633440. Its totient is φ = 4153118860800.

The previous prime is 10402688613991. The next prime is 10402688614009. The reversal of 10402688614000 is 41688620401.

It is an interprime number because it is at equal distance from previous prime (10402688613991) and next prime (10402688614009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402688614009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3926605 + ... + 6018604.

It is an arithmetic number, because the mean of its divisors is an integer number (315022482918).

Almost surely, 2^{10402688614000} is an apocalyptic number.

10402688614000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10402688614000 is an abundant number, since it is smaller than the sum of its proper divisors (14799110019440).

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

10402688614000 is an equidigital number, since it uses as much as digits as its factorization.

10402688614000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945755 (or 9945739 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 10402688614000 in words is "ten trillion, four hundred two billion, six hundred eighty-eight million, six hundred fourteen thousand".