4040444400 has 480 divisors, whose sum is σ = 14482162368. Its totient is φ = 958464000.

The previous prime is 4040444393. The next prime is 4040444407. The reversal of 4040444400 is 44440404.

It is an interprime number because it is at equal distance from previous prime (4040444393) and next prime (4040444407).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040444407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40004350 + ... + 40004450.

Almost surely, 2^4040444400 is an apocalyptic number.

4040444400 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 4040444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241081184).

4040444400 is an abundant number, since it is smaller than the sum of its proper divisors (10441717968).

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

4040444400 is a wasteful number, since it uses less digits than its factorization.

4040444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4040444400 is about 63564.4900868402. The cubic root of 4040444400 is about 1592.7332442945.

Adding to 4040444400 its reverse (44440404), we get a palindrome (4084884804).

The spelling of 4040444400 in words is "four billion, forty million, four hundred forty-four thousand, four hundred".