334987989396480 has 2640 divisors, whose sum is σ = 1445424798698496. Its totient is φ = 73894026608640.

The previous prime is 334987989396461. The next prime is 334987989396503. The reversal of 334987989396480 is 84693989789433.

334987989396480 is a `hidden beast` number, since 3 + 3 + 4 + 9 + 8 + 7 + 98 + 9 + 39 + 6 + 480 = 666.

It is a super-2 number, since 2×334987989396480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 405064073827 + ... + 405064074653.

Almost surely, 2^{334987989396480} is an apocalyptic number.

334987989396480 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 334987989396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722712399349248).

334987989396480 is an abundant number, since it is smaller than the sum of its proper divisors (1110436809302016).

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

334987989396480 is a wasteful number, since it uses less digits than its factorization.

334987989396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 60949905408, while the sum is 90.

The spelling of 334987989396480 in words is "three hundred thirty-four trillion, nine hundred eighty-seven billion, nine hundred eighty-nine million, three hundred ninety-six thousand, four hundred eighty".