4113044021400 has 192 divisors, whose sum is σ = 13167507225600. Its totient is φ = 1060965696000.

The previous prime is 4113044021393. The next prime is 4113044021407. The reversal of 4113044021400 is 41204403114.

It is an interprime number because it is at equal distance from previous prime (4113044021393) and next prime (4113044021407).

It is a super-2 number, since 2×4113044021400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113044021407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 43458130 + ... + 43552670.

It is an arithmetic number, because the mean of its divisors is an integer number (68580766800).

Almost surely, 2^{4113044021400} is an apocalyptic number.

4113044021400 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 4113044021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583753612800).

4113044021400 is an abundant number, since it is smaller than the sum of its proper divisors (9054463204200).

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

4113044021400 is a wasteful number, since it uses less digits than its factorization.

4113044021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96930 (or 96921 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4113044021400 its reverse (41204403114), we get a palindrome (4154248424514).

The spelling of 4113044021400 in words is "four trillion, one hundred thirteen billion, forty-four million, twenty-one thousand, four hundred".