1004044130400 has 72 divisors (see below), whose sum is σ = 3268163652264. Its totient is φ = 267745100800.

The previous prime is 1004044130387. The next prime is 1004044130407. The reversal of 1004044130400 is 40314404001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004044130407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209173461 + ... + 209178260.

It is an arithmetic number, because the mean of its divisors is an integer number (45391161837).

Almost surely, 2^{1004044130400} is an apocalyptic number.

1004044130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004044130400 is an abundant number, since it is smaller than the sum of its proper divisors (2264119521864).

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

1004044130400 is a wasteful number, since it uses less digits than its factorization.

1004044130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418351744 (or 418351731 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1004044130400 its reverse (40314404001), we get a palindrome (1044358534401).

The spelling of 1004044130400 in words is "one trillion, four billion, forty-four million, one hundred thirty thousand, four hundred".