42350110153200 has 360 divisors, whose sum is σ = 147640814817600. Its totient is φ = 11241632563200.

The previous prime is 42350110153163. The next prime is 42350110153243. The reversal of 42350110153200 is 235101105324.

42350110153200 is a `hidden beast` number, since 4 + 2 + 3 + 501 + 1 + 0 + 153 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1124847976 + ... + 1124885624.

Almost surely, 2^{42350110153200} is an apocalyptic number.

42350110153200 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 42350110153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73820407408800).

42350110153200 is an abundant number, since it is smaller than the sum of its proper divisors (105290704664400).

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

42350110153200 is a wasteful number, since it uses less digits than its factorization.

42350110153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39097 (or 39083 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 42350110153200 its reverse (235101105324), we get a palindrome (42585211258524).

The spelling of 42350110153200 in words is "forty-two trillion, three hundred fifty billion, one hundred ten million, one hundred fifty-three thousand, two hundred".