40441021200 has 480 divisors, whose sum is σ = 160442409600. Its totient is φ = 9614868480.

The previous prime is 40441021199. The next prime is 40441021207. The reversal of 40441021200 is 212014404.

40441021200 is a `hidden beast` number, since 4 + 0 + 441 + 0 + 21 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40441021207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3482604 + ... + 3494196.

It is an arithmetic number, because the mean of its divisors is an integer number (334255020).

Almost surely, 2^40441021200 is an apocalyptic number.

40441021200 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 40441021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80221204800).

40441021200 is an abundant number, since it is smaller than the sum of its proper divisors (120001388400).

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

40441021200 is a wasteful number, since it uses less digits than its factorization.

40441021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11656 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 40441021200 its reverse (212014404), we get a palindrome (40653035604).

The spelling of 40441021200 in words is "forty billion, four hundred forty-one million, twenty-one thousand, two hundred".