1004302100400 has 180 divisors, whose sum is σ = 3293678206728. Its totient is φ = 261585085440.

The previous prime is 1004302100383. The next prime is 1004302100489. The reversal of 1004302100400 is 40012034001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1004302100400.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1992484 + ... + 2445116.

Almost surely, 2^{1004302100400} is an apocalyptic number.

1004302100400 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 1004302100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646839103364).

1004302100400 is an abundant number, since it is smaller than the sum of its proper divisors (2289376106328).

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

1004302100400 is a wasteful number, since it uses less digits than its factorization.

1004302100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452740 (or 452686 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1004302100400 its reverse (40012034001), we get a palindrome (1044314134401).

The spelling of 1004302100400 in words is "one trillion, four billion, three hundred two million, one hundred thousand, four hundred".