10002464144640 has 216 divisors, whose sum is σ = 37753619406048. Its totient is φ = 2424839761920.

The previous prime is 10002464144627. The next prime is 10002464144657. The reversal of 10002464144640 is 4644146420001.

10002464144640 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 4 + 6 + 4 + 1 + 4 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10002464144595 and 10002464144604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39340074 + ... + 39593513.

It is an arithmetic number, because the mean of its divisors is an integer number (174785275028).

Almost surely, 2^{10002464144640} is an apocalyptic number.

10002464144640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002464144640 is an abundant number, since it is smaller than the sum of its proper divisors (27751155261408).

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

10002464144640 is a wasteful number, since it uses less digits than its factorization.

10002464144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78933625 (or 78933608 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 10002464144640 in words is "ten trillion, two billion, four hundred sixty-four million, one hundred forty-four thousand, six hundred forty".