40221838800 has 1440 divisors, whose sum is σ = 177308651520. Its totient is φ = 8302694400.

The previous prime is 40221838793. The next prime is 40221838829. The reversal of 40221838800 is 883812204.

It is a happy number.

40221838800 is a `hidden beast` number, since 402 + 218 + 38 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 509137161 + ... + 509137239.

It is an arithmetic number, because the mean of its divisors is an integer number (123131008).

Almost surely, 2^40221838800 is an apocalyptic number.

40221838800 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 40221838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88654325760).

40221838800 is an abundant number, since it is smaller than the sum of its proper divisors (137086812720).

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

40221838800 is a wasteful number, since it uses less digits than its factorization.

40221838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 40221838800 in words is "forty billion, two hundred twenty-one million, eight hundred thirty-eight thousand, eight hundred".