4204004640 has 144 divisors (see below), whose sum is σ = 14556132864. Its totient is φ = 1019138560.

The previous prime is 4204004627. The next prime is 4204004677. The reversal of 4204004640 is 464004024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4204004640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21889 + ... + 94271.

It is an arithmetic number, because the mean of its divisors is an integer number (101084256).

Almost surely, 2^4204004640 is an apocalyptic number.

4204004640 is a gapful number since it is divisible by the number (40) 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 4204004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278066432).

4204004640 is an abundant number, since it is smaller than the sum of its proper divisors (10352128224).

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

4204004640 is a wasteful number, since it uses less digits than its factorization.

4204004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72423 (or 72404 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4204004640 is about 64838.2960911220. The cubic root of 4204004640 is about 1613.9412768520.

Adding to 4204004640 its reverse (464004024), we get a palindrome (4668008664).

The spelling of 4204004640 in words is "four billion, two hundred four million, four thousand, six hundred forty".