3342211201440 has 72 divisors (see below), whose sum is σ = 11405295729828. Its totient is φ = 891256320000.

The previous prime is 3342211201429. The next prime is 3342211201447. The reversal of 3342211201440 is 441021122433.

3342211201440 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 2 + 11 + 201 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3043531463184 + 298679738256 = 1744572^2 + 546516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3342211201440² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3342211201447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1160488561 + ... + 1160491440.

Almost surely, 2^{3342211201440} is an apocalyptic number.

3342211201440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342211201440 is an abundant number, since it is smaller than the sum of its proper divisors (8063084528388).

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

3342211201440 is a wasteful number, since it uses less digits than its factorization.

3342211201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320980022 (or 2320980011 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3342211201440 its reverse (441021122433), we get a palindrome (3783232323873).

The spelling of 3342211201440 in words is "three trillion, three hundred forty-two billion, two hundred eleven million, two hundred one thousand, four hundred forty".