4400201012000 has 48 divisors (see below), whose sum is σ = 10811293896312. Its totient is φ = 1760080403200.

The previous prime is 4400201011967. The next prime is 4400201012041. The reversal of 4400201012000 is 2101020044.

It can be written as a sum of positive squares in 4 ways, for example, as 487891074064 + 3912309937936 = 698492^2 + 1977956^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550021127 + ... + 550029126.

Almost surely, 2^{4400201012000} is an apocalyptic number.

4400201012000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400201012000 is an abundant number, since it is smaller than the sum of its proper divisors (6411092884312).

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

4400201012000 is a wasteful number, since it uses less digits than its factorization.

4400201012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100050278 (or 1100050260 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 4400201012000 its reverse (2101020044), we get a palindrome (4402302032044).

The spelling of 4400201012000 in words is "four trillion, four hundred billion, two hundred one million, twelve thousand".