334456840416 has 96 divisors (see below), whose sum is σ = 906477336576. Its totient is φ = 107864640000.

The previous prime is 334456840387. The next prime is 334456840441. The reversal of 334456840416 is 614048654433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×334456840416³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16628766 + ... + 16648866.

It is an arithmetic number, because the mean of its divisors is an integer number (9442472256).

Almost surely, 2^334456840416 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 334456840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453238668288).

334456840416 is an abundant number, since it is smaller than the sum of its proper divisors (572020496160).

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

334456840416 is a wasteful number, since it uses less digits than its factorization.

334456840416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25736 (or 25728 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 334456840416 in words is "three hundred thirty-four billion, four hundred fifty-six million, eight hundred forty thousand, four hundred sixteen".