4140443100400 has 120 divisors (see below), whose sum is σ = 10122015618288. Its totient is φ = 1627169280000.

The previous prime is 4140443100389. The next prime is 4140443100401. The reversal of 4140443100400 is 40013440414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140443100401) 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 23 ways as a sum of consecutive naturals, for example, 21400095 + ... + 21592705.

Almost surely, 2^{4140443100400} is an apocalyptic number.

4140443100400 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 4140443100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061007809144).

4140443100400 is an abundant number, since it is smaller than the sum of its proper divisors (5981572517888).

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

4140443100400 is a wasteful number, since it uses less digits than its factorization.

4140443100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193571 (or 193560 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4140443100400 its reverse (40013440414), we get a palindrome (4180456540814).

The spelling of 4140443100400 in words is "four trillion, one hundred forty billion, four hundred forty-three million, one hundred thousand, four hundred".