42185674502500 has 45 divisors (see below), whose sum is σ = 92252343176301. Its totient is φ = 16874139900000.

The previous prime is 42185674502483. The next prime is 42185674502507. The reversal of 42185674502500 is 520547658124.

The square root of 42185674502500 is 6495050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 21226052266276 + 20959622236224 = 4607174^2 + 4578168^2 .

It is a super-2 number, since 2×42185674502500² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42185674502507) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 324687550 + ... + 324817450.

Almost surely, 2^{42185674502500} is an apocalyptic number.

42185674502500 is the 6495050-th square number.

It is an amenable number.

42185674502500 is an abundant number, since it is smaller than the sum of its proper divisors (50066668673801).

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

42185674502500 is an frugal number, since it uses more digits than its factorization.

42185674502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259826 (or 129908 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 49.

The spelling of 42185674502500 in words is "forty-two trillion, one hundred eighty-five billion, six hundred seventy-four million, five hundred two thousand, five hundred".