4043120400 has 240 divisors, whose sum is σ = 15699203520. Its totient is φ = 980121600.

The previous prime is 4043120377. The next prime is 4043120407. The reversal of 4043120400 is 40213404.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4043120407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101784 + ... + 135816.

It is an arithmetic number, because the mean of its divisors is an integer number (65413348).

Almost surely, 2^4043120400 is an apocalyptic number.

4043120400 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 4043120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849601760).

4043120400 is an abundant number, since it is smaller than the sum of its proper divisors (11656083120).

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

4043120400 is a wasteful number, since it uses less digits than its factorization.

4043120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34071 (or 34054 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4043120400 is about 63585.5360911583. The cubic root of 4043120400 is about 1593.0847909017.

Adding to 4043120400 its reverse (40213404), we get a palindrome (4083333804).

The spelling of 4043120400 in words is "four billion, forty-three million, one hundred twenty thousand, four hundred".