4040089200 has 540 divisors, whose sum is σ = 16777099560. Its totient is φ = 897039360.

The previous prime is 4040089169. The next prime is 4040089279. The reversal of 4040089200 is 29800404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6526491 + ... + 6527109.

Almost surely, 2^4040089200 is an apocalyptic number.

4040089200 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 4040089200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388549780).

4040089200 is an abundant number, since it is smaller than the sum of its proper divisors (12737010360).

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

4040089200 is a wasteful number, since it uses less digits than its factorization.

4040089200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4040089200 is about 63561.6960126144. The cubic root of 4040089200 is about 1592.6865699380.

Adding to 4040089200 its reverse (29800404), we get a palindrome (4069889604).

It can be divided in two parts, 40400 and 89200, that added together give a square (129600 = 360²).

The spelling of 4040089200 in words is "four billion, forty million, eighty-nine thousand, two hundred".