440240130000 has 400 divisors, whose sum is σ = 1722622334400. Its totient is φ = 106724160000.

The previous prime is 440240129963. The next prime is 440240130023. The reversal of 440240130000 is 31042044.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×440240130000² (a number of 24 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2895886 + ... + 3044114.

It is an arithmetic number, because the mean of its divisors is an integer number (4306555836).

Almost surely, 2^440240130000 is an apocalyptic number.

440240130000 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 440240130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861311167200).

440240130000 is an abundant number, since it is smaller than the sum of its proper divisors (1282382204400).

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

440240130000 is a wasteful number, since it uses less digits than its factorization.

440240130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148277 (or 148250 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 440240130000 its reverse (31042044), we get a palindrome (440271172044).

The spelling of 440240130000 in words is "four hundred forty billion, two hundred forty million, one hundred thirty thousand".