1004001344 has 112 divisors (see below), whose sum is σ = 2205532800. Its totient is φ = 451584000.

The previous prime is 1004001331. The next prime is 1004001347. The reversal of 1004001344 is 4431004001.

It is not an unprimeable number, because it can be changed into a prime (1004001347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2503544 + ... + 2503944.

Almost surely, 2^1004001344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102766400).

1004001344 is an abundant number, since it is smaller than the sum of its proper divisors (1201531456).

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

1004001344 is a wasteful number, since it uses less digits than its factorization.

1004001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1004001344 is about 31685.9802436346. The cubic root of 1004001344 is about 1001.3320063048.

Adding to 1004001344 its reverse (4431004001), we get a palindrome (5435005345).

The spelling of 1004001344 in words is "one billion, four million, one thousand, three hundred forty-four".