34052142040 has 128 divisors (see below), whose sum is σ = 89812800000. Its totient is φ = 11376304128.

The previous prime is 34052142013. The next prime is 34052142049. The reversal of 34052142040 is 4024125043.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34052141996 and 34052142014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34052142049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5402811 + ... + 5409109.

It is an arithmetic number, because the mean of its divisors is an integer number (701662500).

Almost surely, 2^34052142040 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 34052142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44906400000).

34052142040 is an abundant number, since it is smaller than the sum of its proper divisors (55760657960).

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

34052142040 is a wasteful number, since it uses less digits than its factorization.

34052142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6809 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 34052142040 its reverse (4024125043), we get a palindrome (38076267083).

The spelling of 34052142040 in words is "thirty-four billion, fifty-two million, one hundred forty-two thousand, forty".