434222073243750 has 192 divisors, whose sum is σ = 1184275691504640. Its totient is φ = 105256226400000.

The previous prime is 434222073243691. The next prime is 434222073243769. The reversal of 434222073243750 is 57342370222434.

It is a self number, because there is not a number n which added to its sum of digits gives 434222073243750.

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, 2371164691 + ... + 2371347809.

It is an arithmetic number, because the mean of its divisors is an integer number (6168102559920).

Almost surely, 2^{434222073243750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434222073243750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592137845752320).

434222073243750 is an abundant number, since it is smaller than the sum of its proper divisors (750053618260890).

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

434222073243750 is a wasteful number, since it uses less digits than its factorization.

434222073243750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194657 (or 194637 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 48.

The spelling of 434222073243750 in words is "four hundred thirty-four trillion, two hundred twenty-two billion, seventy-three million, two hundred forty-three thousand, seven hundred fifty".