4003958016 has 216 divisors, whose sum is σ = 12125335040. Its totient is φ = 1269043200.

The previous prime is 4003958011. The next prime is 4003958039. The reversal of 4003958016 is 6108593004.

4003958016 is a `hidden beast` number, since 40 + 0 + 39 + 580 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003958011) 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, 4356405 + ... + 4357323.

Almost surely, 2^4003958016 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 4003958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062667520).

4003958016 is an abundant number, since it is smaller than the sum of its proper divisors (8121377024).

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

4003958016 is a wasteful number, since it uses less digits than its factorization.

4003958016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4003958016 is about 63276.8363305246. The cubic root of 4003958016 is about 1587.9244592651.

The spelling of 4003958016 in words is "four billion, three million, nine hundred fifty-eight thousand, sixteen".