4414142400000 has 240 divisors, whose sum is σ = 14698514266128. Its totient is φ = 1177103360000.

The previous prime is 4414142399993. The next prime is 4414142400001. The reversal of 4414142400000 is 42414144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414142400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4340194 + ... + 5259806.

Almost surely, 2^{4414142400000} is an apocalyptic number.

4414142400000 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 4414142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349257133064).

4414142400000 is an abundant number, since it is smaller than the sum of its proper divisors (10284371866128).

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

4414142400000 is an frugal number, since it uses more digits than its factorization.

4414142400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919659 (or 919623 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4414142400000 its reverse (42414144), we get a palindrome (4414184814144).

The spelling of 4414142400000 in words is "four trillion, four hundred fourteen billion, one hundred forty-two million, four hundred thousand".