334424210120 has 576 divisors, whose sum is σ = 1095004656000. Its totient is φ = 90541301760.

The previous prime is 334424210101. The next prime is 334424210149. The reversal of 334424210120 is 21012424433.

It is a super-2 number, since 2×334424210120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 334424210120.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61939181 + ... + 61944579.

It is an arithmetic number, because the mean of its divisors is an integer number (1901049750).

Almost surely, 2^334424210120 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 334424210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547502328000).

334424210120 is an abundant number, since it is smaller than the sum of its proper divisors (760580445880).

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

334424210120 is a wasteful number, since it uses less digits than its factorization.

334424210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 334424210120 its reverse (21012424433), we get a palindrome (355436634553).

The spelling of 334424210120 in words is "three hundred thirty-four billion, four hundred twenty-four million, two hundred ten thousand, one hundred twenty".