34141010221224 has 48 divisors (see below), whose sum is σ = 94432581472320. Its totient is φ = 11138201915040.

The previous prime is 34141010221189. The next prime is 34141010221229. The reversal of 34141010221224 is 42212201014143.

34141010221224 is a `hidden beast` number, since 3 + 4 + 1 + 410 + 1 + 0 + 2 + 21 + 224 = 666.

It is not an unprimeable number, because it can be changed into a prime (34141010221229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5044472122 + ... + 5044478889.

It is an arithmetic number, because the mean of its divisors is an integer number (1967345447340).

Almost surely, 2^{34141010221224} is an apocalyptic number.

It is an amenable number.

34141010221224 is an abundant number, since it is smaller than the sum of its proper divisors (60291571251096).

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

34141010221224 is a wasteful number, since it uses less digits than its factorization.

34141010221224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10088951070 (or 10088951063 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 34141010221224 its reverse (42212201014143), we get a palindrome (76353211235367).

The spelling of 34141010221224 in words is "thirty-four trillion, one hundred forty-one billion, ten million, two hundred twenty-one thousand, two hundred twenty-four".