4002126212004 has 96 divisors (see below), whose sum is σ = 9558108241920. Its totient is φ = 1302769114752.

The previous prime is 4002126211933. The next prime is 4002126212011.

It is a happy number.

4002126212004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602998974 + ... + 603005610.

It is an arithmetic number, because the mean of its divisors is an integer number (99563627520).

Almost surely, 2^{4002126212004} is an apocalyptic number.

It is an amenable number.

4002126212004 is an abundant number, since it is smaller than the sum of its proper divisors (5555982029916).

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

4002126212004 is a wasteful number, since it uses less digits than its factorization.

4002126212004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 4002126212004 in words is "four trillion, two billion, one hundred twenty-six million, two hundred twelve thousand, four".