4004001870336 has 1280 divisors, whose sum is σ = 14070299443200. Its totient is φ = 1127089520640.

The previous prime is 4004001870331. The next prime is 4004001870347. The reversal of 4004001870336 is 6330781004004.

4004001870336 is a `hidden beast` number, since 40 + 0 + 400 + 187 + 0 + 3 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4004001870336.

It is not an unprimeable number, because it can be changed into a prime (4004001870331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8573879575 + ... + 8573880041.

It is an arithmetic number, because the mean of its divisors is an integer number (10992421440).

Almost surely, 2^{4004001870336} 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 4004001870336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035149721600).

4004001870336 is an abundant number, since it is smaller than the sum of its proper divisors (10066297572864).

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

4004001870336 is an equidigital number, since it uses as much as digits as its factorization.

4004001870336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 4004001870336 in words is "four trillion, four billion, one million, eight hundred seventy thousand, three hundred thirty-six".