42609616410 has 128 divisors (see below), whose sum is σ = 108630835200. Its totient is φ = 10666494720.

The previous prime is 42609616403. The next prime is 42609616433. The reversal of 42609616410 is 1461690624.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33314151 + ... + 33315429.

It is an arithmetic number, because the mean of its divisors is an integer number (848678400).

Almost surely, 2^42609616410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42609616410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54315417600).

42609616410 is an abundant number, since it is smaller than the sum of its proper divisors (66021218790).

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

42609616410 is a wasteful number, since it uses less digits than its factorization.

42609616410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796.

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 42609616410 in words is "forty-two billion, six hundred nine million, six hundred sixteen thousand, four hundred ten".