334129385041920 has 4368 divisors, whose sum is σ = 1414843096605120. Its totient is φ = 75104998391808.

The previous prime is 334129385041853. The next prime is 334129385041973. The reversal of 334129385041920 is 29140583921433.

It is a happy number.

334129385041920 is a `hidden beast` number, since 3 + 3 + 4 + 12 + 9 + 38 + 504 + 1 + 92 + 0 = 666.

It is a super-2 number, since 2×334129385041920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3754262753236 + ... + 3754262753324.

It is an arithmetic number, because the mean of its divisors is an integer number (323910965340).

Almost surely, 2^{334129385041920} is an apocalyptic number.

334129385041920 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 334129385041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707421548302560).

334129385041920 is an abundant number, since it is smaller than the sum of its proper divisors (1080713711563200).

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

334129385041920 is an equidigital number, since it uses as much as digits as its factorization.

334129385041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 334129385041920 in words is "three hundred thirty-four trillion, one hundred twenty-nine billion, three hundred eighty-five million, forty-one thousand, nine hundred twenty".