1044100402400 has 144 divisors (see below), whose sum is σ = 2781280142928. Its totient is φ = 379584000000.

The previous prime is 1044100402391. The next prime is 1044100402403. The reversal of 1044100402400 is 42040014401.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044100402403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46391150 + ... + 46413650.

It is an arithmetic number, because the mean of its divisors is an integer number (19314445437).

Almost surely, 2^{1044100402400} is an apocalyptic number.

1044100402400 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 1044100402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390640071464).

1044100402400 is an abundant number, since it is smaller than the sum of its proper divisors (1737179740528).

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

1044100402400 is a wasteful number, since it uses less digits than its factorization.

1044100402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27805 (or 27792 counting only the distinct ones).

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

Adding to 1044100402400 its reverse (42040014401), we get a palindrome (1086140416801).

The spelling of 1044100402400 in words is "one trillion, forty-four billion, one hundred million, four hundred two thousand, four hundred".