5040042261120 has 768 divisors, whose sum is σ = 17996090112000. Its totient is φ = 1299222650880.

The previous prime is 5040042261071. The next prime is 5040042261161. The reversal of 5040042261120 is 211622400405.

5040042261120 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 0 + 4 + 22 + 611 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11480733861 + ... + 11480734299.

It is an arithmetic number, because the mean of its divisors is an integer number (23432409000).

Almost surely, 2^{5040042261120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040042261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8998045056000).

5040042261120 is an abundant number, since it is smaller than the sum of its proper divisors (12956047850880).

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

5040042261120 is a wasteful number, since it uses less digits than its factorization.

5040042261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 5040042261120 its reverse (211622400405), we get a palindrome (5251664661525).

The spelling of 5040042261120 in words is "five trillion, forty billion, forty-two million, two hundred sixty-one thousand, one hundred twenty".