4004040400 has 30 divisors (see below), whose sum is σ = 9619708022. Its totient is φ = 1601616000.

The previous prime is 4004040389. The next prime is 4004040401. The reversal of 4004040400 is 40404004.

It can be written as a sum of positive squares in 3 ways, for example, as 16875664 + 3987164736 = 4108^2 + 63144^2 .

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 (4004040401) 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 5 ways as a sum of consecutive naturals, for example, 5004651 + ... + 5005450.

Almost surely, 2^4004040400 is an apocalyptic number.

4004040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004040400 is an abundant number, since it is smaller than the sum of its proper divisors (5615667622).

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

4004040400 is a wasteful number, since it uses less digits than its factorization.

4004040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010119 (or 10010108 counting only the distinct ones).

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

The square root of 4004040400 is about 63277.4873078886. The cubic root of 4004040400 is about 1587.9353500446.

Adding to 4004040400 its reverse (40404004), we get a palindrome (4044444404).

The spelling of 4004040400 in words is "four billion, four million, forty thousand, four hundred".