3313042560000 has 1100 divisors, whose sum is σ = 12460859523552. Its totient is φ = 880118784000.

The previous prime is 3313042559989. The next prime is 3313042560001. The reversal of 3313042560000 is 652403133.

It is a happy number.

3313042560000 is a `hidden beast` number, since 3 + 3 + 1 + 30 + 4 + 25 + 600 + 0 + 0 = 666.

It is a super-4 number, since 4×3313042560000⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313042560001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 12597119869 + ... + 12597120131.

Almost surely, 2^{3313042560000} is an apocalyptic number.

3313042560000 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 3313042560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230429761776).

3313042560000 is an abundant number, since it is smaller than the sum of its proper divisors (9147816963552).

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

3313042560000 is an frugal number, since it uses more digits than its factorization.

3313042560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 3313042560000 its reverse (652403133), we get a palindrome (3313694963133).

The spelling of 3313042560000 in words is "three trillion, three hundred thirteen billion, forty-two million, five hundred sixty thousand".