4002366628864 has 176 divisors, whose sum is σ = 8251957057536. Its totient is φ = 1939451904000.

The previous prime is 4002366628849. The next prime is 4002366628873. The reversal of 4002366628864 is 4688266632004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1565257474 + ... + 1565260030.

Almost surely, 2^{4002366628864} 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 4002366628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125978528768).

4002366628864 is an abundant number, since it is smaller than the sum of its proper divisors (4249590428672).

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

4002366628864 is a wasteful number, since it uses less digits than its factorization.

4002366628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 55.

The spelling of 4002366628864 in words is "four trillion, two billion, three hundred sixty-six million, six hundred twenty-eight thousand, eight hundred sixty-four".