4214151141200 has 960 divisors, whose sum is σ = 14449322184192. Its totient is φ = 1136708812800.

The previous prime is 4214151141191. The next prime is 4214151141223. The reversal of 4214151141200 is 21411514124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4214151141200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1994391344 + ... + 1994393456.

Almost surely, 2^{4214151141200} is an apocalyptic number.

4214151141200 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 4214151141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224661092096).

4214151141200 is an abundant number, since it is smaller than the sum of its proper divisors (10235171042992).

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

4214151141200 is a wasteful number, since it uses less digits than its factorization.

4214151141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 4214151141200 its reverse (21411514124), we get a palindrome (4235562655324).

The spelling of 4214151141200 in words is "four trillion, two hundred fourteen billion, one hundred fifty-one million, one hundred forty-one thousand, two hundred".