440054124000000 has 2016 divisors, whose sum is σ = 1583185484966400. Its totient is φ = 108242534400000.

The previous prime is 440054123999939. The next prime is 440054124000047. The reversal of 440054124000000 is 421450044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 980075999776 + ... + 980076000224.

It is an arithmetic number, because the mean of its divisors is an integer number (785310260400).

Almost surely, 2^{440054124000000} is an apocalyptic number.

440054124000000 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 440054124000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791592742483200).

440054124000000 is an abundant number, since it is smaller than the sum of its proper divisors (1143131360966400).

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

440054124000000 is an frugal number, since it uses more digits than its factorization.

440054124000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 440054124000000 its reverse (421450044), we get a palindrome (440054545450044).

The spelling of 440054124000000 in words is "four hundred forty trillion, fifty-four billion, one hundred twenty-four million", and thus it is an aban number.