4014389808000 has 1280 divisors, whose sum is σ = 17516929510080. Its totient is φ = 898283520000.

The previous prime is 4014389807977. The next prime is 4014389808001. The reversal of 4014389808000 is 8089834104.

It is a super-2 number, since 2×4014389808000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014389808001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 185317170 + ... + 185338830.

Almost surely, 2^{4014389808000} is an apocalyptic number.

4014389808000 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 4014389808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758464755040).

4014389808000 is an abundant number, since it is smaller than the sum of its proper divisors (13502539702080).

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

4014389808000 is a wasteful number, since it uses less digits than its factorization.

4014389808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21726 (or 21695 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 4014389808000 in words is "four trillion, fourteen billion, three hundred eighty-nine million, eight hundred eight thousand".