434021112030016 has 112 divisors (see below), whose sum is σ = 1003125390873984. Its totient is φ = 182452883798016.

The previous prime is 434021112029929. The next prime is 434021112030053. The reversal of 434021112030016 is 610030211120434.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90817966 + ... + 95477458.

It is an arithmetic number, because the mean of its divisors is an integer number (8956476704232).

Almost surely, 2^{434021112030016} 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 434021112030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501562695436992).

434021112030016 is an abundant number, since it is smaller than the sum of its proper divisors (569104278843968).

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

434021112030016 is a wasteful number, since it uses less digits than its factorization.

434021112030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663488 (or 4663478 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 434021112030016 in words is "four hundred thirty-four trillion, twenty-one billion, one hundred twelve million, thirty thousand, sixteen".