334016426422500 has 240 divisors, whose sum is σ = 980038501041600. Its totient is φ = 88511596736000.

The previous prime is 334016426422493. The next prime is 334016426422529. The reversal of 334016426422500 is 5224624610433.

It is a happy number.

It is a super-2 number, since 2×334016426422500² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 784594699 + ... + 785020301.

It is an arithmetic number, because the mean of its divisors is an integer number (4083493754340).

Almost surely, 2^{334016426422500} is an apocalyptic number.

334016426422500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334016426422500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490019250520800).

334016426422500 is an abundant number, since it is smaller than the sum of its proper divisors (646022074619100).

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

334016426422500 is a wasteful number, since it uses less digits than its factorization.

334016426422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426288 (or 426271 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 334016426422500 in words is "three hundred thirty-four trillion, sixteen billion, four hundred twenty-six million, four hundred twenty-two thousand, five hundred".