41742073027125 has 192 divisors, whose sum is σ = 77599561411008. Its totient is φ = 21574066176000.

The previous prime is 41742073027063. The next prime is 41742073027181. The reversal of 41742073027125 is 52172037024714.

41742073027125 is a `hidden beast` number, since 4 + 1 + 74 + 207 + 302 + 71 + 2 + 5 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 38830333497201 + 2911739529924 = 6231399^2 + 1706382^2 .

It is not a de Polignac number, because 41742073027125 - 2²⁰ = 41742071978549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6525254427 + ... + 6525260823.

It is an arithmetic number, because the mean of its divisors is an integer number (404164382349).

Almost surely, 2^{41742073027125} is an apocalyptic number.

41742073027125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41742073027125 is a deficient number, since it is larger than the sum of its proper divisors (35857488383883).

41742073027125 is a wasteful number, since it uses less digits than its factorization.

41742073027125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 41742073027125 in words is "forty-one trillion, seven hundred forty-two billion, seventy-three million, twenty-seven thousand, one hundred twenty-five".