40032400 has 60 divisors (see below), whose sum is σ = 98564004. Its totient is φ = 15616000.

The previous prime is 40032371. The next prime is 40032401. The reversal of 40032400 is 423004.

It can be written as a sum of positive squares in 6 ways, for example, as 14992384 + 25040016 = 3872^2 + 5004^2 .

It is not an unprimeable number, because it can be changed into a prime (40032401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15180 + ... + 17620.

Almost surely, 2^40032400 is an apocalyptic number.

40032400 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 40032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49282002).

40032400 is an abundant number, since it is smaller than the sum of its proper divisors (58531604).

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

40032400 is a wasteful number, since it uses less digits than its factorization.

40032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 40032400 is about 6327.1162467589. The cubic root of 40032400 is about 342.0875031162.

Adding to 40032400 its reverse (423004), we get a palindrome (40455404).

It can be divided in two parts, 400 and 32400, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 40032400 in words is "forty million, thirty-two thousand, four hundred".