10141345200 has 240 divisors, whose sum is σ = 37195405056. Its totient is φ = 2313753600.

The previous prime is 10141345199. The next prime is 10141345243. The reversal of 10141345200 is 254314101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 7903759 + ... + 7905041.

Almost surely, 2^10141345200 is an apocalyptic number.

10141345200 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 10141345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597702528).

10141345200 is an abundant number, since it is smaller than the sum of its proper divisors (27054059856).

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

10141345200 is a wasteful number, since it uses less digits than its factorization.

10141345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10141345200 its reverse (254314101), we get a palindrome (10395659301).

The spelling of 10141345200 in words is "ten billion, one hundred forty-one million, three hundred forty-five thousand, two hundred".