4008249879696 has 960 divisors, whose sum is σ = 13493136384000. Its totient is φ = 1143482572800.

The previous prime is 4008249879691. The next prime is 4008249879707. The reversal of 4008249879696 is 6969789428004.

4008249879696 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 2 + 498 + 79 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4008249879691) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5800650711 + ... + 5800651401.

It is an arithmetic number, because the mean of its divisors is an integer number (14055350400).

Almost surely, 2^{4008249879696} 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 4008249879696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746568192000).

4008249879696 is an abundant number, since it is smaller than the sum of its proper divisors (9484886504304).

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

4008249879696 is a wasteful number, since it uses less digits than its factorization.

4008249879696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 4008249879696 in words is "four trillion, eight billion, two hundred forty-nine million, eight hundred seventy-nine thousand, six hundred ninety-six".