4134345233200 has 240 divisors, whose sum is σ = 12227546275840. Its totient is φ = 1308173276160.

The previous prime is 4134345233197. The next prime is 4134345233237. The reversal of 4134345233200 is 23325434314.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231749881 + ... + 231767719.

Almost surely, 2^{4134345233200} is an apocalyptic number.

4134345233200 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 4134345233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113773137920).

4134345233200 is an abundant number, since it is smaller than the sum of its proper divisors (8093201042640).

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

4134345233200 is a wasteful number, since it uses less digits than its factorization.

4134345233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24244 (or 24233 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 34.

The spelling of 4134345233200 in words is "four trillion, one hundred thirty-four billion, three hundred forty-five million, two hundred thirty-three thousand, two hundred".