334416720960 has 1344 divisors, whose sum is σ = 1438367293440. Its totient is φ = 72843079680.

The previous prime is 334416720941. The next prime is 334416720973. The reversal of 334416720960 is 69027614433.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×334416720960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1089305127 + ... + 1089305433.

It is an arithmetic number, because the mean of its divisors is an integer number (1070213760).

Almost surely, 2^334416720960 is an apocalyptic number.

334416720960 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 334416720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719183646720).

334416720960 is an abundant number, since it is smaller than the sum of its proper divisors (1103950572480).

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

334416720960 is a wasteful number, since it uses less digits than its factorization.

334416720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 334416720960 in words is "three hundred thirty-four billion, four hundred sixteen million, seven hundred twenty thousand, nine hundred sixty".