42165402104436 has 192 divisors, whose sum is σ = 110273783574528. Its totient is φ = 12455668173312.

The previous prime is 42165402104431. The next prime is 42165402104437. The reversal of 42165402104436 is 63440120456124.

It is a super-2 number, since 2×42165402104436² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42165402104431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2497498051 + ... + 2497514933.

It is an arithmetic number, because the mean of its divisors is an integer number (574342622784).

Almost surely, 2^{42165402104436} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42165402104436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55136891787264).

42165402104436 is an abundant number, since it is smaller than the sum of its proper divisors (68108381470092).

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

42165402104436 is a wasteful number, since it uses less digits than its factorization.

42165402104436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23430 (or 23428 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 42165402104436 in words is "forty-two trillion, one hundred sixty-five billion, four hundred two million, one hundred four thousand, four hundred thirty-six".