4014132443200 has 168 divisors, whose sum is σ = 10788566139360. Its totient is φ = 1457875046400.

The previous prime is 4014132443183. The next prime is 4014132443249. The reversal of 4014132443200 is 23442314104.

It is a super-2 number, since 2×4014132443200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14097439 + ... + 14379361.

Almost surely, 2^{4014132443200} is an apocalyptic number.

4014132443200 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 4014132443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394283069680).

4014132443200 is an abundant number, since it is smaller than the sum of its proper divisors (6774433696160).

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

4014132443200 is a wasteful number, since it uses less digits than its factorization.

4014132443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282765 (or 282750 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4014132443200 its reverse (23442314104), we get a palindrome (4037574757304).

The spelling of 4014132443200 in words is "four trillion, fourteen billion, one hundred thirty-two million, four hundred forty-three thousand, two hundred".