40023200 has 108 divisors (see below), whose sum is σ = 113770062. Its totient is φ = 13708800.

The previous prime is 40023173. The next prime is 40023209. The reversal of 40023200 is 232004.

It can be written as a sum of positive squares in 3 ways, for example, as 31047184 + 8976016 = 5572^2 + 2996^2 .

It is not an unprimeable number, because it can be changed into a prime (40023209) 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, 38690 + ... + 39710.

Almost surely, 2^40023200 is an apocalyptic number.

40023200 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 40023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56885031).

40023200 is an abundant number, since it is smaller than the sum of its proper divisors (73746862).

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

40023200 is a wasteful number, since it uses less digits than its factorization.

40023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 40023200 is about 6326.3891755092. The cubic root of 40023200 is about 342.0612956264.

Adding to 40023200 its reverse (232004), we get a palindrome (40255204).

The spelling of 40023200 in words is "forty million, twenty-three thousand, two hundred".