440142410000 has 400 divisors, whose sum is σ = 1215702100800. Its totient is φ = 153280512000.

The previous prime is 440142409991. The next prime is 440142410011. The reversal of 440142410000 is 14241044.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138888416 + ... + 138891584.

It is an arithmetic number, because the mean of its divisors is an integer number (3039255252).

Almost surely, 2^440142410000 is an apocalyptic number.

440142410000 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 440142410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607851050400).

440142410000 is an abundant number, since it is smaller than the sum of its proper divisors (775559690800).

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

440142410000 is a wasteful number, since it uses less digits than its factorization.

440142410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 440142410000 its reverse (14241044), we get a palindrome (440156651044).

The spelling of 440142410000 in words is "four hundred forty billion, one hundred forty-two million, four hundred ten thousand".