4004221178880 has 1056 divisors, whose sum is σ = 15209144496000. Its totient is φ = 968205533184.

The previous prime is 4004221178857. The next prime is 4004221178917. The reversal of 4004221178880 is 888711224004.

4004221178880 is a `hidden beast` number, since 400 + 4 + 221 + 17 + 8 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×4004221178880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11473412946 + ... + 11473413294.

Almost surely, 2^{4004221178880} is an apocalyptic number.

4004221178880 is a gapful number since it is divisible by the number (40) 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 4004221178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604572248000).

4004221178880 is an abundant number, since it is smaller than the sum of its proper divisors (11204923317120).

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

4004221178880 is a wasteful number, since it uses less digits than its factorization.

4004221178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 4004221178880 in words is "four trillion, four billion, two hundred twenty-one million, one hundred seventy-eight thousand, eight hundred eighty".