34210442255472 has 480 divisors, whose sum is σ = 112408499840000. Its totient is φ = 9708375688704.

The previous prime is 34210442255447. The next prime is 34210442255489. The reversal of 34210442255472 is 27455224401243.

34210442255472 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 0 + 4 + 4 + 22 + 554 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6320049438 + ... + 6320054850.

Almost surely, 2^{34210442255472} 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 34210442255472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56204249920000).

34210442255472 is an abundant number, since it is smaller than the sum of its proper divisors (78198057584528).

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

34210442255472 is a wasteful number, since it uses less digits than its factorization.

34210442255472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 34210442255472 in words is "thirty-four trillion, two hundred ten billion, four hundred forty-two million, two hundred fifty-five thousand, four hundred seventy-two".