4040404000 has 192 divisors, whose sum is σ = 10237080672. Its totient is φ = 1566720000.

The previous prime is 4040403967. The next prime is 4040404009. The reversal of 4040404000 is 4040404.

It can be written as a sum of positive squares in 16 ways, for example, as 100080016 + 3940323984 = 10004^2 + 62772^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4040404009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29491932 + ... + 29492068.

Almost surely, 2^4040404000 is an apocalyptic number.

4040404000 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 4040404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118540336).

4040404000 is an abundant number, since it is smaller than the sum of its proper divisors (6196676672).

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

4040404000 is a wasteful number, since it uses less digits than its factorization.

4040404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

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

The square root of 4040404000 is about 63564.1722985520. The cubic root of 4040404000 is about 1592.7279357499.

Adding to 4040404000 its reverse (4040404), we get a palindrome (4044444404).

4040404000 divided by its reverse (4040404) gives a cube (1000 = 10³).

It can be divided in two parts, 4040 and 404000, that multiplied together give a square (1632160000 = 40400²).

The spelling of 4040404000 in words is "four billion, forty million, four hundred four thousand".