4034401341400 has 96 divisors (see below), whose sum is σ = 9524161664640. Its totient is φ = 1589028572160.

The previous prime is 4034401341361. The next prime is 4034401341403. The reversal of 4034401341400 is 41431044304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034401341403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8634582 + ... + 9089818.

It is an arithmetic number, because the mean of its divisors is an integer number (99210017340).

Almost surely, 2^{4034401341400} is an apocalyptic number.

4034401341400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4034401341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762080832320).

4034401341400 is an abundant number, since it is smaller than the sum of its proper divisors (5489760323240).

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

4034401341400 is a wasteful number, since it uses less digits than its factorization.

4034401341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455933 (or 455924 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4034401341400 its reverse (41431044304), we get a palindrome (4075832385704).

The spelling of 4034401341400 in words is "four trillion, thirty-four billion, four hundred one million, three hundred forty-one thousand, four hundred".