42414041424402 has 80 divisors (see below), whose sum is σ = 95987263268952. Its totient is φ = 13996952236800.

The previous prime is 42414041424371. The next prime is 42414041424431. The reversal of 42414041424402 is 20442414041424.

42414041424402 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 404 + 1 + 4 + 244 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39558451781601 + 2855589642801 = 6289551^2 + 1689849^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 227551348 + ... + 227737664.

Almost surely, 2^{42414041424402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42414041424402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47993631634476).

42414041424402 is an abundant number, since it is smaller than the sum of its proper divisors (53573221844550).

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

42414041424402 is a wasteful number, since it uses less digits than its factorization.

42414041424402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200345 (or 200336 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 42414041424402 its reverse (20442414041424), we get a palindrome (62856455465826).

The spelling of 42414041424402 in words is "forty-two trillion, four hundred fourteen billion, forty-one million, four hundred twenty-four thousand, four hundred two".