414442441000 has 256 divisors, whose sum is σ = 1167469056000. Its totient is φ = 137507328000.

The previous prime is 414442440967. The next prime is 414442441003. The reversal of 414442441000 is 144244414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 414442441000.

It is not an unprimeable number, because it can be changed into a prime (414442441003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10613512 + ... + 10652488.

It is an arithmetic number, because the mean of its divisors is an integer number (4560426000).

Almost surely, 2^414442441000 is an apocalyptic number.

414442441000 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 414442441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583734528000).

414442441000 is an abundant number, since it is smaller than the sum of its proper divisors (753026615000).

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

414442441000 is a wasteful number, since it uses less digits than its factorization.

414442441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39050 (or 39022 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 414442441000 its reverse (144244414), we get a palindrome (414586685414).

The spelling of 414442441000 in words is "four hundred fourteen billion, four hundred forty-two million, four hundred forty-one thousand".