10236342041200 has 240 divisors, whose sum is σ = 27114673121280. Its totient is φ = 3682660480000.

The previous prime is 10236342041147. The next prime is 10236342041201. The reversal of 10236342041200 is 214024363201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10236342041201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639483597 + ... + 639499603.

It is an arithmetic number, because the mean of its divisors is an integer number (112977804672).

Almost surely, 2^{10236342041200} is an apocalyptic number.

10236342041200 is a gapful number since it is divisible by the number (10) 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 10236342041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557336560640).

10236342041200 is an abundant number, since it is smaller than the sum of its proper divisors (16878331080080).

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

10236342041200 is a wasteful number, since it uses less digits than its factorization.

10236342041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17576 (or 17565 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 10236342041200 in words is "ten trillion, two hundred thirty-six billion, three hundred forty-two million, forty-one thousand, two hundred".