440415434130000 has 800 divisors, whose sum is σ = 1642028757600000. Its totient is φ = 99602970624000.

The previous prime is 440415434129959. The next prime is 440415434130029. The reversal of 440415434130000 is 31434514044.

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 159 ways as a sum of consecutive naturals, for example, 16778356876 + ... + 16778383124.

It is an arithmetic number, because the mean of its divisors is an integer number (2052535947000).

Almost surely, 2^{440415434130000} is an apocalyptic number.

440415434130000 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 440415434130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821014378800000).

440415434130000 is an abundant number, since it is smaller than the sum of its proper divisors (1201613323470000).

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

440415434130000 is a wasteful number, since it uses less digits than its factorization.

440415434130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27129 (or 27108 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 440415434130000 its reverse (31434514044), we get a palindrome (440446868644044).

The spelling of 440415434130000 in words is "four hundred forty trillion, four hundred fifteen billion, four hundred thirty-four million, one hundred thirty thousand".