40532400 has 210 divisors, whose sum is σ = 147052220. Its totient is φ = 10730880.

The previous prime is 40532399. The next prime is 40532423. The reversal of 40532400 is 423504.

It is a happy number.

40532400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 291531 + ... + 291669.

Almost surely, 2^40532400 is an apocalyptic number.

40532400 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 40532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73526110).

40532400 is an abundant number, since it is smaller than the sum of its proper divisors (106519820).

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

40532400 is a wasteful number, since it uses less digits than its factorization.

40532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40532400 is about 6366.5061061779. The cubic root of 40532400 is about 343.5058254957.

Adding to 40532400 its reverse (423504), we get a palindrome (40955904).

The spelling of 40532400 in words is "forty million, five hundred thirty-two thousand, four hundred".