4008390624 has 240 divisors, whose sum is σ = 13561134048. Its totient is φ = 1137742848.

The previous prime is 4008390599. The next prime is 4008390691. The reversal of 4008390624 is 4260938004.

It is a happy number.

It is a super-2 number, since 2×4008390624² = 32134390789142218752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3138274 + ... + 3139550.

Almost surely, 2^4008390624 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 4008390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780567024).

4008390624 is an abundant number, since it is smaller than the sum of its proper divisors (9552743424).

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

4008390624 is a wasteful number, since it uses less digits than its factorization.

4008390624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4008390624 is about 63311.8521605552. The cubic root of 4008390624 is about 1588.5102172273.

The spelling of 4008390624 in words is "four billion, eight million, three hundred ninety thousand, six hundred twenty-four".