440200197664920 has 1152 divisors, whose sum is σ = 1824434830108800. Its totient is φ = 90086679429120.

The previous prime is 440200197664889. The next prime is 440200197665003. The reversal of 440200197664920 is 29466791002044.

440200197664920 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 0 + 0 + 1 + 97 + 66 + 492 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 15781730494 + ... + 15781758386.

It is an arithmetic number, because the mean of its divisors is an integer number (1583710790025).

Almost surely, 2^{440200197664920} is an apocalyptic number.

440200197664920 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 440200197664920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912217415054400).

440200197664920 is an abundant number, since it is smaller than the sum of its proper divisors (1384234632443880).

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

440200197664920 is a wasteful number, since it uses less digits than its factorization.

440200197664920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28721 (or 28703 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 440200197664920 in words is "four hundred forty trillion, two hundred billion, one hundred ninety-seven million, six hundred sixty-four thousand, nine hundred twenty".