4002211404100 has 72 divisors (see below), whose sum is σ = 10688983097408. Its totient is φ = 1266633936000.

The previous prime is 4002211404089. The next prime is 4002211404133. The reversal of 4002211404100 is 14041122004.

4002211404100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4002211404100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219892626 + ... + 219910825.

Almost surely, 2^{4002211404100} is an apocalyptic number.

It is an amenable number.

4002211404100 is an abundant number, since it is smaller than the sum of its proper divisors (6686771693308).

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

4002211404100 is a wasteful number, since it uses less digits than its factorization.

4002211404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439803485 (or 439803478 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 4002211404100 its reverse (14041122004), we get a palindrome (4016252526104).

The spelling of 4002211404100 in words is "four trillion, two billion, two hundred eleven million, four hundred four thousand, one hundred".