4004244211968 has 2880 divisors, whose sum is σ = 17019056947200. Its totient is φ = 921773260800.

The previous prime is 4004244211949. The next prime is 4004244211991. The reversal of 4004244211968 is 8691124424004.

4004244211968 is a `hidden beast` number, since 4 + 0 + 0 + 424 + 4 + 211 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31529481921 + ... + 31529482047.

Almost surely, 2^{4004244211968} is an apocalyptic number.

4004244211968 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 4004244211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509528473600).

4004244211968 is an abundant number, since it is smaller than the sum of its proper divisors (13014812735232).

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

4004244211968 is a wasteful number, since it uses less digits than its factorization.

4004244211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4004244211968 in words is "four trillion, four billion, two hundred forty-four million, two hundred eleven thousand, nine hundred sixty-eight".