40520221200 has 180 divisors, whose sum is σ = 140800357620. Its totient is φ = 10791260160.

The previous prime is 40520221187. The next prime is 40520221243. The reversal of 40520221200 is 212202504.

40520221200 is a `hidden beast` number, since 4 + 0 + 520 + 22 + 120 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 877818384 + 39642402816 = 29628^2 + 199104^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2905444 + ... + 2919356.

It is an arithmetic number, because the mean of its divisors is an integer number (782224209).

Almost surely, 2^40520221200 is an apocalyptic number.

40520221200 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 40520221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70400178810).

40520221200 is an abundant number, since it is smaller than the sum of its proper divisors (100280136420).

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

40520221200 is a wasteful number, since it uses less digits than its factorization.

40520221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14746 (or 14732 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 40520221200 its reverse (212202504), we get a palindrome (40732423704).

The spelling of 40520221200 in words is "forty billion, five hundred twenty million, two hundred twenty-one thousand, two hundred".