4004049024 has 384 divisors, whose sum is σ = 12965097600. Its totient is φ = 1226244096.

The previous prime is 4004048941. The next prime is 4004049041. The reversal of 4004049024 is 4209404004.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20746272 + ... + 20746464.

It is an arithmetic number, because the mean of its divisors is an integer number (33763275).

Almost surely, 2^4004049024 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 4004049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482548800).

4004049024 is an abundant number, since it is smaller than the sum of its proper divisors (8961048576).

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

4004049024 is a wasteful number, since it uses less digits than its factorization.

4004049024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4004049024 is about 63277.5554521506. Note that the first 3 decimals coincide. The cubic root of 4004049024 is about 1587.9364900884.

The spelling of 4004049024 in words is "four billion, four million, forty-nine thousand, twenty-four".