40118400 has 288 divisors, whose sum is σ = 164424000. Its totient is φ = 9123840.

The previous prime is 40118389. The next prime is 40118423. The reversal of 40118400 is 481104.

It is a tau number, because it is divible by the number of its divisors (288).

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 (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 201501 + ... + 201699.

Almost surely, 2^40118400 is an apocalyptic number.

40118400 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 40118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82212000).

40118400 is an abundant number, since it is smaller than the sum of its proper divisors (124305600).

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

40118400 is a wasteful number, since it uses less digits than its factorization.

40118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40118400 is about 6333.9087457904. The cubic root of 40118400 is about 342.3322921991.

Adding to 40118400 its reverse (481104), we get a palindrome (40599504).

The spelling of 40118400 in words is "forty million, one hundred eighteen thousand, four hundred".