3301401130400 has 72 divisors (see below), whose sum is σ = 8142633799020. Its totient is φ = 1306946396160.

The previous prime is 3301401130393. The next prime is 3301401130411. The reversal of 3301401130400 is 40311041033.

It can be written as a sum of positive squares in 6 ways, for example, as 703592150416 + 2597808979984 = 838804^2 + 1611772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21194315 + ... + 21349514.

Almost surely, 2^{3301401130400} is an apocalyptic number.

It is an amenable number.

3301401130400 is an abundant number, since it is smaller than the sum of its proper divisors (4841232668620).

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

3301401130400 is a wasteful number, since it uses less digits than its factorization.

3301401130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42543946 (or 42543933 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3301401130400 its reverse (40311041033), we get a palindrome (3341712171433).

The spelling of 3301401130400 in words is "three trillion, three hundred one billion, four hundred one million, one hundred thirty thousand, four hundred".