40140800 has 144 divisors (see below), whose sum is σ = 115800345. Its totient is φ = 13762560.

The previous prime is 40140799. The next prime is 40140803. The reversal of 40140800 is 804104.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 39337984 + 802816 = 6272^2 + 896^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4480.

It is a super-2 number, since 2×40140800² = 3222567649280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40140803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5734397 + ... + 5734403.

Almost surely, 2^40140800 is an apocalyptic number.

40140800 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 40140800

40140800 is an abundant number, since it is smaller than the sum of its proper divisors (75659545).

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

40140800 is an frugal number, since it uses more digits than its factorization.

40140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 40140800 is about 6335.6767594315. The cubic root of 40140800 is about 342.3959937808.

Multiplying 40140800 by its product of nonzero digits (128), we get a square (5138022400 = 71680²).

40140800 divided by its product of nonzero digits (128) gives a square (313600 = 560²).

Adding to 40140800 its reverse (804104), we get a palindrome (40944904).

The spelling of 40140800 in words is "forty million, one hundred forty thousand, eight hundred".