40216800 has 144 divisors (see below), whose sum is σ = 141084720. Its totient is φ = 9891840.

The previous prime is 40216789. The next prime is 40216807. The reversal of 40216800 is 861204.

40216800 = T₂₁₅ + T₂₁₆ + ... + T₆₃₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40216807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30556 + ... + 31844.

It is an arithmetic number, because the mean of its divisors is an integer number (979755).

Almost surely, 2^40216800 is an apocalyptic number.

40216800 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 40216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70542360).

40216800 is an abundant number, since it is smaller than the sum of its proper divisors (100867920).

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

40216800 is a wasteful number, since it uses less digits than its factorization.

40216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 40216800 is about 6341.6717038964. The cubic root of 40216800 is about 342.6119477057.

The spelling of 40216800 in words is "forty million, two hundred sixteen thousand, eight hundred".