4004642004600 has 96 divisors (see below), whose sum is σ = 12416398625520. Its totient is φ = 1067731768320.

The previous prime is 4004642004511. The next prime is 4004642004607. The reversal of 4004642004600 is 64002464004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004642004607) 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, 3193414 + ... + 4266986.

Almost surely, 2^{4004642004600} is an apocalyptic number.

4004642004600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004642004600 is an abundant number, since it is smaller than the sum of its proper divisors (8411756620920).

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

4004642004600 is a wasteful number, since it uses less digits than its factorization.

4004642004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079809 (or 1079800 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4004642004600 its reverse (64002464004), we get a palindrome (4068644468604).

The spelling of 4004642004600 in words is "four trillion, four billion, six hundred forty-two million, four thousand, six hundred".