4006641405052 has 72 divisors (see below), whose sum is σ = 8358680872080. Its totient is φ = 1665684933120.

The previous prime is 4006641405049. The next prime is 4006641405073. The reversal of 4006641405052 is 2505041466004.

4006641405052 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 2×4006641405052² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 1661113 + ... + 3282160.

It is an arithmetic number, because the mean of its divisors is an integer number (116092789890).

Almost surely, 2^{4006641405052} is an apocalyptic number.

It is an amenable number.

4006641405052 is an abundant number, since it is smaller than the sum of its proper divisors (4352039467028).

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

4006641405052 is a wasteful number, since it uses less digits than its factorization.

4006641405052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4943423 (or 4943408 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 4006641405052 in words is "four trillion, six billion, six hundred forty-one million, four hundred five thousand, fifty-two".