2042414100402 has 96 divisors (see below), whose sum is σ = 4696765964352. Its totient is φ = 588464679936.

The previous prime is 2042414100401. The next prime is 2042414100439. The reversal of 2042414100402 is 2040014142402.

It is not an unprimeable number, because it can be changed into a prime (2042414100401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4210813 + ... + 4670735.

It is an arithmetic number, because the mean of its divisors is an integer number (48924645462).

Almost surely, 2^{2042414100402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042414100402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348382982176).

2042414100402 is an abundant number, since it is smaller than the sum of its proper divisors (2654351863950).

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

2042414100402 is a wasteful number, since it uses less digits than its factorization.

2042414100402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460172 (or 460155 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2042414100402 its reverse (2040014142402), we get a palindrome (4082428242804).

The spelling of 2042414100402 in words is "two trillion, forty-two billion, four hundred fourteen million, one hundred thousand, four hundred two".