10240141200 has 120 divisors (see below), whose sum is σ = 34529114400. Its totient is φ = 2586977280.

The previous prime is 10240141169. The next prime is 10240141277. The reversal of 10240141200 is 214104201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10240141200.

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, 201765 + ... + 247364.

It is an arithmetic number, because the mean of its divisors is an integer number (287742620).

Almost surely, 2^10240141200 is an apocalyptic number.

10240141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240141200 is an abundant number, since it is smaller than the sum of its proper divisors (24288973200).

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

10240141200 is a wasteful number, since it uses less digits than its factorization.

10240141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449169 (or 449158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10240141200 its reverse (214104201), we get a palindrome (10454245401).

The spelling of 10240141200 in words is "ten billion, two hundred forty million, one hundred forty-one thousand, two hundred".