440234213100 has 144 divisors (see below), whose sum is σ = 1393043506176. Its totient is φ = 106454304000.

The previous prime is 440234213053. The next prime is 440234213101. The reversal of 440234213100 is 1312432044.

It is a super-2 number, since 2×440234213100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (440234213101) 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 47 ways as a sum of consecutive naturals, for example, 1142085 + ... + 1478115.

Almost surely, 2^440234213100 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 440234213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696521753088).

440234213100 is an abundant number, since it is smaller than the sum of its proper divisors (952809293076).

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

440234213100 is a wasteful number, since it uses less digits than its factorization.

440234213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336456 (or 336449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 440234213100 its reverse (1312432044), we get a palindrome (441546645144).

The spelling of 440234213100 in words is "four hundred forty billion, two hundred thirty-four million, two hundred thirteen thousand, one hundred".