40940800 has 54 divisors (see below), whose sum is σ = 101350718. Its totient is φ = 16373760.

The previous prime is 40940789. The next prime is 40940813. The reversal of 40940800 is 804904.

It can be written as a sum of positive squares in 3 ways, for example, as 389376 + 40551424 = 624^2 + 6368^2 .

It is a super-2 number, since 2×40940800² = 3352298209280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3202 + ... + 9598.

Almost surely, 2^40940800 is an apocalyptic number.

40940800 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 40940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50675359).

40940800 is an abundant number, since it is smaller than the sum of its proper divisors (60409918).

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

40940800 is an equidigital number, since it uses as much as digits as its factorization.

40940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6423 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 40940800 is about 6398.4998241775. The cubic root of 40940800 is about 344.6556811199.

It can be divided in two parts, 409 and 40800, that added together give a square (41209 = 203²).

The spelling of 40940800 in words is "forty million, nine hundred forty thousand, eight hundred".