4040040400 has 120 divisors (see below), whose sum is σ = 10694592288. Its totient is φ = 1454400000.

The previous prime is 4040040383. The next prime is 4040040401. The reversal of 4040040400 is 40400404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040040401) 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 23 ways as a sum of consecutive naturals, for example, 439855 + ... + 448945.

Almost surely, 2^4040040400 is an apocalyptic number.

4040040400 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 4040040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347296144).

4040040400 is an abundant number, since it is smaller than the sum of its proper divisors (6654551888).

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

4040040400 is a wasteful number, since it uses less digits than its factorization.

4040040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4040040400 is about 63561.3121324599. The cubic root of 4040040400 is about 1592.6801572563.

Adding to 4040040400 its reverse (40400404), we get a palindrome (4080440804).

4040040400 divided by its reverse (40400404) gives a square (100 = 10²).

The spelling of 4040040400 in words is "four billion, forty million, forty thousand, four hundred".