14422412004000 has 2304 divisors, whose sum is σ = 67157173923840. Its totient is φ = 2620200960000.

The previous prime is 14422412003903. The next prime is 14422412004059. The reversal of 14422412004000 is 40021422441.

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 383 ways as a sum of consecutive naturals, for example, 2966961570 + ... + 2966966430.

It is an arithmetic number, because the mean of its divisors is an integer number (29148078960).

Almost surely, 2^{14422412004000} is an apocalyptic number.

14422412004000 is a gapful number since it is divisible by the number (10) 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 14422412004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33578586961920).

14422412004000 is an abundant number, since it is smaller than the sum of its proper divisors (52734761919840).

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

14422412004000 is a wasteful number, since it uses less digits than its factorization.

14422412004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952 (or 4921 counting only the distinct ones).

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

Adding to 14422412004000 its reverse (40021422441), we get a palindrome (14462433426441).

The spelling of 14422412004000 in words is "fourteen trillion, four hundred twenty-two billion, four hundred twelve million, four thousand".