1044100424000 has 448 divisors, whose sum is σ = 2858317180992. Its totient is φ = 376143872000.

The previous prime is 1044100423999. The next prime is 1044100424011. The reversal of 1044100424000 is 4240014401.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 933094177024 + 111006246976 = 965968^2 + 333176^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295526234 + ... + 295529766.

It is an arithmetic number, because the mean of its divisors is an integer number (6380172279).

Almost surely, 2^{1044100424000} is an apocalyptic number.

1044100424000 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 1044100424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429158590496).

1044100424000 is an abundant number, since it is smaller than the sum of its proper divisors (1814216756992).

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

1044100424000 is a wasteful number, since it uses less digits than its factorization.

1044100424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3651 counting only the distinct ones).

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

Adding to 1044100424000 its reverse (4240014401), we get a palindrome (1048340438401).

The spelling of 1044100424000 in words is "one trillion, forty-four billion, one hundred million, four hundred twenty-four thousand".