334812656640 has 1056 divisors, whose sum is σ = 1396966863744. Its totient is φ = 67629219840.

The previous prime is 334812656561. The next prime is 334812656653. The reversal of 334812656640 is 46656218433.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×334812656640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 334812656640.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 306323934 + ... + 306325026.

Almost surely, 2^334812656640 is an apocalyptic number.

334812656640 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 334812656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698483431872).

334812656640 is an abundant number, since it is smaller than the sum of its proper divisors (1062154207104).

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

334812656640 is a wasteful number, since it uses less digits than its factorization.

334812656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 334812656640 in words is "three hundred thirty-four billion, eight hundred twelve million, six hundred fifty-six thousand, six hundred forty".