1002644164200 has 144 divisors (see below), whose sum is σ = 3615657734880. Its totient is φ = 229175802240.

The previous prime is 1002644164153. The next prime is 1002644164229. The reversal of 1002644164200 is 24614462001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17022372 + ... + 17081171.

It is an arithmetic number, because the mean of its divisors is an integer number (25108734270).

Almost surely, 2^{1002644164200} is an apocalyptic number.

1002644164200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002644164200 is an abundant number, since it is smaller than the sum of its proper divisors (2613013570680).

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

1002644164200 is a wasteful number, since it uses less digits than its factorization.

1002644164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34103576 (or 34103560 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 1002644164200 in words is "one trillion, two billion, six hundred forty-four million, one hundred sixty-four thousand, two hundred".