4001062136436 has 18 divisors (see below), whose sum is σ = 10113795956082. Its totient is φ = 1333687378800.

The previous prime is 4001062136381. The next prime is 4001062136441. The reversal of 4001062136436 is 6346312601004.

4001062136436 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 0 + 6 + 2 + 1 + 3 + 643 + 6 = 666.

4001062136436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4000880048400 + 182088036 = 2000220^2 + 13494^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 111140614901 = 4001062136436 / (4 + 0 + 0 + 1 + 0 + 6 + 2 + 1 + 3 + 6 + 4 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 4001062136436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55570307415 + ... + 55570307486.

Almost surely, 2^{4001062136436} is an apocalyptic number.

It is an amenable number.

4001062136436 is an abundant number, since it is smaller than the sum of its proper divisors (6112733819646).

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

4001062136436 is a wasteful number, since it uses less digits than its factorization.

4001062136436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111140614911 (or 111140614906 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 4001062136436 in words is "four trillion, one billion, sixty-two million, one hundred thirty-six thousand, four hundred thirty-six".