34214141201200 has 30 divisors (see below), whose sum is σ = 82199474236844. Its totient is φ = 13685656480320.

The previous prime is 34214141201189. The next prime is 34214141201209. The reversal of 34214141201200 is 210214141243.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34214141201209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42767676102 + ... + 42767676901.

Almost surely, 2^{34214141201200} is an apocalyptic number.

It is an amenable number.

34214141201200 is an abundant number, since it is smaller than the sum of its proper divisors (47985333035644).

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

34214141201200 is a wasteful number, since it uses less digits than its factorization.

34214141201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85535353021 (or 85535353010 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 34214141201200 its reverse (210214141243), we get a palindrome (34424355342443).

The spelling of 34214141201200 in words is "thirty-four trillion, two hundred fourteen billion, one hundred forty-one million, two hundred one thousand, two hundred".