3314065920480 has 576 divisors, whose sum is σ = 13411244141568. Its totient is φ = 757066383360.

The previous prime is 3314065920461. The next prime is 3314065920497. The reversal of 3314065920480 is 840295604133.

3314065920480 is a `hidden beast` number, since 3 + 3 + 14 + 0 + 6 + 592 + 0 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914727949 + ... + 914731571.

It is an arithmetic number, because the mean of its divisors is an integer number (23283409968).

Almost surely, 2^{3314065920480} is an apocalyptic number.

3314065920480 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 3314065920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705622070784).

3314065920480 is an abundant number, since it is smaller than the sum of its proper divisors (10097178221088).

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

3314065920480 is a wasteful number, since it uses less digits than its factorization.

3314065920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3314065920480 in words is "three trillion, three hundred fourteen billion, sixty-five million, nine hundred twenty thousand, four hundred eighty".