5040042121125 has 288 divisors, whose sum is σ = 10294961459328. Its totient is φ = 2352333312000.

The previous prime is 5040042121007. The next prime is 5040042121159. The reversal of 5040042121125 is 5211212400405.

It is a happy number.

5040042121125 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 0 + 421 + 211 + 25 = 666.

It is not a de Polignac number, because 5040042121125 - 2⁹ = 5040042120613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1643311842 + ... + 1643314908.

It is an arithmetic number, because the mean of its divisors is an integer number (35746393956).

Almost surely, 2^{5040042121125} is an apocalyptic number.

5040042121125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5040042121125 is an abundant number, since it is smaller than the sum of its proper divisors (5254919338203).

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

5040042121125 is a wasteful number, since it uses less digits than its factorization.

5040042121125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 5040042121125 in words is "five trillion, forty billion, forty-two million, one hundred twenty-one thousand, one hundred twenty-five".