440240400192 has 112 divisors (see below), whose sum is σ = 1202874294272. Its totient is φ = 141954301440.

The previous prime is 440240400191. The next prime is 440240400233. The reversal of 440240400192 is 291004042044.

It is a super-2 number, since 2×440240400192² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440240400191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15740973 + ... + 15768915.

It is an arithmetic number, because the mean of its divisors is an integer number (10739949056).

Almost surely, 2^440240400192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440240400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601437147136).

440240400192 is an abundant number, since it is smaller than the sum of its proper divisors (762633894080).

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

440240400192 is a wasteful number, since it uses less digits than its factorization.

440240400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30636 (or 30626 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 440240400192 in words is "four hundred forty billion, two hundred forty million, four hundred thousand, one hundred ninety-two".