4004025344 has 176 divisors, whose sum is σ = 9391308480. Its totient is φ = 1686896640.

The previous prime is 4004025313. The next prime is 4004025373. The reversal of 4004025344 is 4435204004.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11342672 + ... + 11343024.

Almost surely, 2^4004025344 is an apocalyptic number.

4004025344 is a gapful number since it is divisible by the number (44) 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 4004025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695654240).

4004025344 is an abundant number, since it is smaller than the sum of its proper divisors (5387283136).

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

4004025344 is a wasteful number, since it uses less digits than its factorization.

4004025344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4004025344 is about 63277.3683397153. The cubic root of 4004025344 is about 1587.9333597230.

Adding to 4004025344 its reverse (4435204004), we get a palindrome (8439229348).

The spelling of 4004025344 in words is "four billion, four million, twenty-five thousand, three hundred forty-four".