4004102138022 has 256 divisors, whose sum is σ = 10667017267200. Its totient is φ = 1089174643200.

The previous prime is 4004102137999. The next prime is 4004102138053. The reversal of 4004102138022 is 2208312014004.

4004102138022 is a `hidden beast` number, since 400 + 4 + 102 + 138 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 506780272 + ... + 506788172.

It is an arithmetic number, because the mean of its divisors is an integer number (41668036200).

Almost surely, 2^{4004102138022} is an apocalyptic number.

4004102138022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004102138022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333508633600).

4004102138022 is an abundant number, since it is smaller than the sum of its proper divisors (6662915129178).

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

4004102138022 is a wasteful number, since it uses less digits than its factorization.

4004102138022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8588 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 4004102138022 in words is "four trillion, four billion, one hundred two million, one hundred thirty-eight thousand, twenty-two".