3441404134400 has 132 divisors (see below), whose sum is σ = 8582859782352. Its totient is φ = 1368114831360.

The previous prime is 3441404134379. The next prime is 3441404134403. The reversal of 3441404134400 is 44314041443.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3441404134403) 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, 3760439 + ... + 4585161.

Almost surely, 2^{3441404134400} 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 3441404134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291429891176).

3441404134400 is an abundant number, since it is smaller than the sum of its proper divisors (5141455647952).

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

3441404134400 is a wasteful number, since it uses less digits than its factorization.

3441404134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824916 (or 824893 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 3441404134400 its reverse (44314041443), we get a palindrome (3485718175843).

The spelling of 3441404134400 in words is "three trillion, four hundred forty-one billion, four hundred four million, one hundred thirty-four thousand, four hundred".