42113480460100 has 81 divisors (see below), whose sum is σ = 106307603809533. Its totient is φ = 14438751838560.

The previous prime is 42113480460047. The next prime is 42113480460169. The reversal of 42113480460100 is 106408431124.

The square root of 42113480460100 is 6489490.

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

It can be written as a sum of positive squares in only one way, i.e., 15160852965636 + 26952627494464 = 3893694^2 + 5191592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 454217947 + ... + 454310653.

Almost surely, 2^{42113480460100} is an apocalyptic number.

42113480460100 is the 6489490-th square number.

It is an amenable number.

42113480460100 is an abundant number, since it is smaller than the sum of its proper divisors (64194123349433).

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

42113480460100 is an frugal number, since it uses more digits than its factorization.

42113480460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185442 (or 92721 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 42113480460100 its reverse (106408431124), we get a palindrome (42219888891224).

The spelling of 42113480460100 in words is "forty-two trillion, one hundred thirteen billion, four hundred eighty million, four hundred sixty thousand, one hundred".