40840800 has 576 divisors, whose sum is σ = 188987904. Its totient is φ = 7372800.

The previous prime is 40840777. The next prime is 40840829. The reversal of 40840800 is 804804.

40840800 = T₃₈₅ + T₃₈₆ + ... + T₆₇₀.

40840800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2402392 + ... + 2402408.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^40840800 is an apocalyptic number.

40840800 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 40840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

40840800 is an abundant number, since it is smaller than the sum of its proper divisors (148147104).

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

40840800 is a wasteful number, since it uses less digits than its factorization.

40840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40840800 is about 6390.6807149161. The cubic root of 40840800 is about 344.3748392901.

It can be divided in two parts, 408 and 40800, that multiplied together give a square (16646400 = 4080²).

The spelling of 40840800 in words is "forty million, eight hundred forty thousand, eight hundred".