40221443400 has 192 divisors, whose sum is σ = 125627673600. Its totient is φ = 10645152000.

The previous prime is 40221443399. The next prime is 40221443411. The reversal of 40221443400 is 434412204.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81917155 + ... + 81917645.

It is an arithmetic number, because the mean of its divisors is an integer number (654310800).

Almost surely, 2^40221443400 is an apocalyptic number.

40221443400 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 40221443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62813836800).

40221443400 is an abundant number, since it is smaller than the sum of its proper divisors (85406230200).

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

40221443400 is a wasteful number, since it uses less digits than its factorization.

40221443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40221443400 its reverse (434412204), we get a palindrome (40655855604).

The spelling of 40221443400 in words is "forty billion, two hundred twenty-one million, four hundred forty-three thousand, four hundred".