4040744400 has 960 divisors, whose sum is σ = 18510243840. Its totient is φ = 812851200.

The previous prime is 4040744369. The next prime is 4040744401. The reversal of 4040744400 is 44470404.

It is a happy number.

It is a super-2 number, since 2×4040744400² = 32655230612262720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040744401) 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 191 ways as a sum of consecutive naturals, for example, 35758744 + ... + 35758856.

It is an arithmetic number, because the mean of its divisors is an integer number (19281504).

Almost surely, 2^4040744400 is an apocalyptic number.

4040744400 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 4040744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255121920).

4040744400 is an abundant number, since it is smaller than the sum of its proper divisors (14469499440).

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

4040744400 is a wasteful number, since it uses less digits than its factorization.

4040744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 4040744400 is about 63566.8498511606. The cubic root of 4040744400 is about 1592.7726630729.

The spelling of 4040744400 in words is "four billion, forty million, seven hundred forty-four thousand, four hundred".