42615438364125 has 384 divisors, whose sum is σ = 88056502410240. Its totient is φ = 19638484992000.

The previous prime is 42615438364099. The next prime is 42615438364133. The reversal of 42615438364125 is 52146383451624.

It is a happy number.

42615438364125 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 543 + 8 + 36 + 41 + 25 = 666.

It is not a de Polignac number, because 42615438364125 - 2⁷ = 42615438363997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6718495704 + ... + 6718502046.

It is an arithmetic number, because the mean of its divisors is an integer number (229313808360).

Almost surely, 2^{42615438364125} is an apocalyptic number.

42615438364125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42615438364125 is an abundant number, since it is smaller than the sum of its proper divisors (45441064046115).

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

42615438364125 is a wasteful number, since it uses less digits than its factorization.

42615438364125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6694 (or 6681 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 42615438364125 in words is "forty-two trillion, six hundred fifteen billion, four hundred thirty-eight million, three hundred sixty-four thousand, one hundred twenty-five".