3331213104440 has 128 divisors (see below), whose sum is σ = 8392990072320. Its totient is φ = 1181620224000.

The previous prime is 3331213104437. The next prime is 3331213104449. The reversal of 3331213104440 is 444013121333.

It is a happy number.

It is a super-2 number, since 2×3331213104440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331213104449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1454240 + ... + 2962640.

It is an arithmetic number, because the mean of its divisors is an integer number (65570234940).

Almost surely, 2^{3331213104440} 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 3331213104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196495036160).

3331213104440 is an abundant number, since it is smaller than the sum of its proper divisors (5061776967880).

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

3331213104440 is a wasteful number, since it uses less digits than its factorization.

3331213104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508593 (or 1508589 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 3331213104440 its reverse (444013121333), we get a palindrome (3775226225773).

The spelling of 3331213104440 in words is "three trillion, three hundred thirty-one billion, two hundred thirteen million, one hundred four thousand, four hundred forty".