34142554341200 has 120 divisors (see below), whose sum is σ = 86625153010368. Its totient is φ = 12905849482240.

The previous prime is 34142554341199. The next prime is 34142554341271. The reversal of 34142554341200 is 214345524143.

It is a congruent number.

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, 21592709 + ... + 23119908.

Almost surely, 2^{34142554341200} is an apocalyptic number.

It is an amenable number.

34142554341200 is an abundant number, since it is smaller than the sum of its proper divisors (52482598669168).

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

34142554341200 is a wasteful number, since it uses less digits than its factorization.

34142554341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44712741 (or 44712730 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 34142554341200 its reverse (214345524143), we get a palindrome (34356899865343).

The spelling of 34142554341200 in words is "thirty-four trillion, one hundred forty-two billion, five hundred fifty-four million, three hundred forty-one thousand, two hundred".