334326042960 has 640 divisors, whose sum is σ = 1329544903680. Its totient is φ = 67592060928.

The previous prime is 334326042943. The next prime is 334326043027. The reversal of 334326042960 is 69240623433.

It is a super-2 number, since 2×334326042960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86768394 + ... + 86772246.

It is an arithmetic number, because the mean of its divisors is an integer number (2077413912).

Almost surely, 2^334326042960 is an apocalyptic number.

334326042960 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 334326042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664772451840).

334326042960 is an abundant number, since it is smaller than the sum of its proper divisors (995218860720).

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

334326042960 is a wasteful number, since it uses less digits than its factorization.

334326042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 334326042960 in words is "three hundred thirty-four billion, three hundred twenty-six million, forty-two thousand, nine hundred sixty".