3301113722400 has 1440 divisors, whose sum is σ = 13281909778368. Its totient is φ = 792928051200.

The previous prime is 3301113722377. The next prime is 3301113722449. The reversal of 3301113722400 is 42273111033.

It is a happy number.

3301113722400 is a `hidden beast` number, since 3 + 301 + 1 + 137 + 224 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11664712659 + ... + 11664712941.

Almost surely, 2^{3301113722400} is an apocalyptic number.

3301113722400 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 3301113722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640954889184).

3301113722400 is an abundant number, since it is smaller than the sum of its proper divisors (9980796055968).

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

3301113722400 is a wasteful number, since it uses less digits than its factorization.

3301113722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 3301113722400 its reverse (42273111033), we get a palindrome (3343386833433).

The spelling of 3301113722400 in words is "three trillion, three hundred one billion, one hundred thirteen million, seven hundred twenty-two thousand, four hundred".