4001613408 has 384 divisors, whose sum is σ = 14021683200. Its totient is φ = 1096851456.

The previous prime is 4001613403. The next prime is 4001613437. The reversal of 4001613408 is 8043161004.

4001613408 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 613 + 40 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001613403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3627385 + ... + 3628487.

It is an arithmetic number, because the mean of its divisors is an integer number (36514800).

Almost surely, 2^4001613408 is an apocalyptic number.

4001613408 is a gapful number since it is divisible by the number (48) 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 4001613408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010841600).

4001613408 is an abundant number, since it is smaller than the sum of its proper divisors (10020069792).

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

4001613408 is a wasteful number, since it uses less digits than its factorization.

4001613408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4001613408 is about 63258.3070276150. The cubic root of 4001613408 is about 1587.6144504089.

The spelling of 4001613408 in words is "four billion, one million, six hundred thirteen thousand, four hundred eight".