1004431100344 has 16 divisors (see below), whose sum is σ = 2152352358000. Its totient is φ = 430470471552.

The previous prime is 1004431100297. The next prime is 1004431100371. The reversal of 1004431100344 is 4430011344001.

1004431100344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8968134769 + ... + 8968134880.

It is an arithmetic number, because the mean of its divisors is an integer number (134522022375).

Almost surely, 2^{1004431100344} is an apocalyptic number.

1004431100344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004431100344 is an abundant number, since it is smaller than the sum of its proper divisors (1147921257656).

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

1004431100344 is a wasteful number, since it uses less digits than its factorization.

1004431100344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17936269662 (or 17936269658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1004431100344 its reverse (4430011344001), we get a palindrome (5434442444345).

The spelling of 1004431100344 in words is "one trillion, four billion, four hundred thirty-one million, one hundred thousand, three hundred forty-four".