34402410042 has 256 divisors, whose sum is σ = 95606784000. Its totient is φ = 7963868160.

The previous prime is 34402410041. The next prime is 34402410047. The reversal of 34402410042 is 24001420443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34402409994 and 34402410021.

It is not an unprimeable number, because it can be changed into a prime (34402410041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33110559 + ... + 33111597.

It is an arithmetic number, because the mean of its divisors is an integer number (373464000).

Almost surely, 2^34402410042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34402410042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47803392000).

34402410042 is an abundant number, since it is smaller than the sum of its proper divisors (61204373958).

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

34402410042 is a wasteful number, since it uses less digits than its factorization.

34402410042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34402410042 its reverse (24001420443), we get a palindrome (58403830485).

It can be divided in two parts, 34402 and 410042, that added together give a palindrome (444444).

The spelling of 34402410042 in words is "thirty-four billion, four hundred two million, four hundred ten thousand, forty-two".