4004949960 has 384 divisors, whose sum is σ = 15455664000. Its totient is φ = 919226880.

The previous prime is 4004949959. The next prime is 4004950009. The reversal of 4004949960 is 699494004.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2482114 + ... + 2483726.

It is an arithmetic number, because the mean of its divisors is an integer number (40249125).

Almost surely, 2^4004949960 is an apocalyptic number.

4004949960 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 4004949960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727832000).

4004949960 is an abundant number, since it is smaller than the sum of its proper divisors (11450714040).

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

4004949960 is a wasteful number, since it uses less digits than its factorization.

4004949960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4004949960 is about 63284.6739740358. The cubic root of 4004949960 is about 1588.0555796945.

It can be divided in two parts, 40049 and 49960, that added together give a palindrome (90009).

The spelling of 4004949960 in words is "four billion, four million, nine hundred forty-nine thousand, nine hundred sixty".