4040624400 has 120 divisors (see below), whose sum is σ = 12968333664. Its totient is φ = 1075430400.

The previous prime is 4040624353. The next prime is 4040624407. The reversal of 4040624400 is 44260404.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (4040624407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682252 + ... + 688148.

Almost surely, 2^4040624400 is an apocalyptic number.

4040624400 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 4040624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484166832).

4040624400 is an abundant number, since it is smaller than the sum of its proper divisors (8927709264).

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

4040624400 is a wasteful number, since it uses less digits than its factorization.

4040624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4040624400 is about 63565.9059559447. The cubic root of 4040624400 is about 1592.7568957957.

Adding to 4040624400 its reverse (44260404), we get a palindrome (4084884804).

The spelling of 4040624400 in words is "four billion, forty million, six hundred twenty-four thousand, four hundred".