3413140234400 has 72 divisors (see below), whose sum is σ = 8973276978204. Its totient is φ = 1260236390400.

The previous prime is 3413140234363. The next prime is 3413140234403. The reversal of 3413140234400 is 44320413143.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 65308869136 + 3347831365264 = 255556^2 + 1829708^2 .

It is not an unprimeable number, because it can be changed into a prime (3413140234403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164082881 + ... + 164103680.

Almost surely, 2^{3413140234400} is an apocalyptic number.

It is an amenable number.

3413140234400 is an abundant number, since it is smaller than the sum of its proper divisors (5560136743804).

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

3413140234400 is a wasteful number, since it uses less digits than its factorization.

3413140234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328186594 (or 328186581 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3413140234400 its reverse (44320413143), we get a palindrome (3457460647543).

The spelling of 3413140234400 in words is "three trillion, four hundred thirteen billion, one hundred forty million, two hundred thirty-four thousand, four hundred".