1004102253200 has 60 divisors (see below), whose sum is σ = 2413127679780. Its totient is φ = 401512366080.

The previous prime is 1004102253139. The next prime is 1004102253223. The reversal of 1004102253200 is 23522014001.

It can be written as a sum of positive squares in 6 ways, for example, as 129899693056 + 874202560144 = 360416^2 + 934988^2 .

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 11 ways as a sum of consecutive naturals, for example, 854696 + ... + 1654904.

It is an arithmetic number, because the mean of its divisors is an integer number (40218794663).

Almost surely, 2^{1004102253200} is an apocalyptic number.

1004102253200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004102253200 is an abundant number, since it is smaller than the sum of its proper divisors (1409025426580).

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

1004102253200 is a wasteful number, since it uses less digits than its factorization.

1004102253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803364 (or 803353 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1004102253200 its reverse (23522014001), we get a palindrome (1027624267201).

The spelling of 1004102253200 in words is "one trillion, four billion, one hundred two million, two hundred fifty-three thousand, two hundred".