42106055301225 has 240 divisors, whose sum is σ = 86831496892800. Its totient is φ = 20062274918400.

The previous prime is 42106055301161. The next prime is 42106055301253. The reversal of 42106055301225 is 52210355060124.

42106055301225 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 605 + 5 + 30 + 12 + 2 + 5 = 666.

It is not a de Polignac number, because 42106055301225 - 2⁶ = 42106055301161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42106055301225.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 103519551 + ... + 103925499.

It is an arithmetic number, because the mean of its divisors is an integer number (361797903720).

Almost surely, 2^{42106055301225} is an apocalyptic number.

42106055301225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42106055301225 is an abundant number, since it is smaller than the sum of its proper divisors (44725441591575).

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

42106055301225 is a wasteful number, since it uses less digits than its factorization.

42106055301225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406142 (or 406128 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 42106055301225 in words is "forty-two trillion, one hundred six billion, fifty-five million, three hundred one thousand, two hundred twenty-five".