34141933056 has 720 divisors, whose sum is σ = 122100435072. Its totient is φ = 8430428160.

The previous prime is 34141933043. The next prime is 34141933057. The reversal of 34141933056 is 65033914143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34141933057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 209459631 + ... + 209459793.

Almost surely, 2^34141933056 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 34141933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61050217536).

34141933056 is an abundant number, since it is smaller than the sum of its proper divisors (87958502016).

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

34141933056 is a wasteful number, since it uses less digits than its factorization.

34141933056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 34141933056 in words is "thirty-four billion, one hundred forty-one million, nine hundred thirty-three thousand, fifty-six".