40336400 has 60 divisors (see below), whose sum is σ = 104376132. Its totient is φ = 14891520.

The previous prime is 40336379. The next prime is 40336409. The reversal of 40336400 is 463304.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1048576 + 39287824 = 1024^2 + 6268^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40336409) 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, 1322 + ... + 9078.

Almost surely, 2^40336400 is an apocalyptic number.

40336400 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 40336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52188066).

40336400 is an abundant number, since it is smaller than the sum of its proper divisors (64039732).

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

40336400 is a wasteful number, since it uses less digits than its factorization.

40336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 40336400 is about 6351.0943938820. The cubic root of 40336400 is about 342.9512407067.

Adding to 40336400 its reverse (463304), we get a palindrome (40799704).

The spelling of 40336400 in words is "forty million, three hundred thirty-six thousand, four hundred".