40441210000 has 75 divisors (see below), whose sum is σ = 97960926063. Its totient is φ = 16168440000.

The previous prime is 40441209989. The next prime is 40441210001. The reversal of 40441210000 is 1214404.

The square root of 40441210000 is 201100.

It is a perfect power (a square), and thus also a powerful number.

40441210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3170590864 + 37270619136 = 56308^2 + 193056^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40441210001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20108995 + ... + 20111005.

Almost surely, 2^40441210000 is an apocalyptic number.

40441210000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40441210000 is the 201100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441210000

40441210000 is an abundant number, since it is smaller than the sum of its proper divisors (57519716063).

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

40441210000 is an frugal number, since it uses more digits than its factorization.

40441210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 40441210000 by its sum of digits (16), we get a square (647059360000 = 804400²).

40441210000 divided by its sum of digits (16) gives a square (2527575625 = 50275²).

Adding to 40441210000 its reverse (1214404), we get a palindrome (40442424404).

The spelling of 40441210000 in words is "forty billion, four hundred forty-one million, two hundred ten thousand".