42605135402120 has 64 divisors (see below), whose sum is σ = 104161960972800. Its totient is φ = 15624294128640.

The previous prime is 42605135402069. The next prime is 42605135402143. The reversal of 42605135402120 is 2120453150624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904160129 + ... + 904207248.

It is an arithmetic number, because the mean of its divisors is an integer number (1627530640200).

Almost surely, 2^{42605135402120} is an apocalyptic number.

42605135402120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42605135402120 is an abundant number, since it is smaller than the sum of its proper divisors (61556825570680).

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

42605135402120 is a wasteful number, since it uses less digits than its factorization.

42605135402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808367438 (or 1808367434 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 42605135402120 its reverse (2120453150624), we get a palindrome (44725588552744).

The spelling of 42605135402120 in words is "forty-two trillion, six hundred five billion, one hundred thirty-five million, four hundred two thousand, one hundred twenty".