4040294400 has 324 divisors, whose sum is σ = 14578820802. Its totient is φ = 1069547520.

The previous prime is 4040294381. The next prime is 4040294407. The reversal of 4040294400 is 44920404.

It can be written as a sum of positive squares in 3 ways, for example, as 3143172096 + 897122304 = 56064^2 + 29952^2 .

It is not an unprimeable number, because it can be changed into a prime (4040294407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29491132 + ... + 29491268.

Almost surely, 2^4040294400 is an apocalyptic number.

4040294400 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 4040294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289410401).

4040294400 is an abundant number, since it is smaller than the sum of its proper divisors (10538526402).

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

4040294400 is an equidigital number, since it uses as much as digits as its factorization.

4040294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4040294400 is about 63563.3101718279. The cubic root of 4040294400 is about 1592.7135341736.

The spelling of 4040294400 in words is "four billion, forty million, two hundred ninety-four thousand, four hundred".