440100421200 has 480 divisors, whose sum is σ = 1721939788800. Its totient is φ = 105872832000.

The previous prime is 440100421199. The next prime is 440100421219. The reversal of 440100421200 is 2124001044.

440100421200 is a `hidden beast` number, since 4 + 40 + 1 + 0 + 0 + 421 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15548661 + ... + 15576939.

It is an arithmetic number, because the mean of its divisors is an integer number (3587374560).

Almost surely, 2^440100421200 is an apocalyptic number.

440100421200 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 440100421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860969894400).

440100421200 is an abundant number, since it is smaller than the sum of its proper divisors (1281839367600).

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

440100421200 is a wasteful number, since it uses less digits than its factorization.

440100421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28448 (or 28431 counting only the distinct ones).

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

Adding to 440100421200 its reverse (2124001044), we get a palindrome (442224422244).

The spelling of 440100421200 in words is "four hundred forty billion, one hundred million, four hundred twenty-one thousand, two hundred".