4043104121400 has 384 divisors, whose sum is σ = 13345117286400. Its totient is φ = 1009080115200.

The previous prime is 4043104121389. The next prime is 4043104121447. The reversal of 4043104121400 is 41214013404.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1959816769 + ... + 1959818831.

It is an arithmetic number, because the mean of its divisors is an integer number (34752909600).

Almost surely, 2^{4043104121400} is an apocalyptic number.

4043104121400 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 4043104121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672558643200).

4043104121400 is an abundant number, since it is smaller than the sum of its proper divisors (9302013165000).

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

4043104121400 is a wasteful number, since it uses less digits than its factorization.

4043104121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3070 counting only the distinct ones).

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

Adding to 4043104121400 its reverse (41214013404), we get a palindrome (4084318134804).

The spelling of 4043104121400 in words is "four trillion, forty-three billion, one hundred four million, one hundred twenty-one thousand, four hundred".