1002104404400 has 120 divisors (see below), whose sum is σ = 2640035198064. Its totient is φ = 362513203200.

The previous prime is 1002104404397. The next prime is 1002104404409. The reversal of 1002104404400 is 44044012001.

It is a happy number.

It is a super-3 number, since 3×1002104404400³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1002104404409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259172 + ... + 1439228.

Almost surely, 2^{1002104404400} is an apocalyptic number.

1002104404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002104404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320017599032).

1002104404400 is an abundant number, since it is smaller than the sum of its proper divisors (1637930793664).

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

1002104404400 is a wasteful number, since it uses less digits than its factorization.

1002104404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180279 (or 1180268 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1002104404400 its reverse (44044012001), we get a palindrome (1046148416401).

The spelling of 1002104404400 in words is "one trillion, two billion, one hundred four million, four hundred four thousand, four hundred".