4013400024144 has 60 divisors (see below), whose sum is σ = 12836509604256. Its totient is φ = 1146685720896.

The previous prime is 4013400024143. The next prime is 4013400024163. The reversal of 4013400024144 is 4414200043104.

4013400024144 is a `hidden beast` number, since 4 + 0 + 13 + 400 + 0 + 241 + 4 + 4 = 666.

It is a super-2 number, since 2×4013400024144² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013400024143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990772814 + ... + 1990774829.

Almost surely, 2^{4013400024144} is an apocalyptic number.

It is an amenable number.

4013400024144 is an abundant number, since it is smaller than the sum of its proper divisors (8823109580112).

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

4013400024144 is a wasteful number, since it uses less digits than its factorization.

4013400024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981547664 (or 3981547655 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4013400024144 its reverse (4414200043104), we get a palindrome (8427600067248).

The spelling of 4013400024144 in words is "four trillion, thirteen billion, four hundred million, twenty-four thousand, one hundred forty-four".