240200401000 has 96 divisors (see below), whose sum is σ = 653835429000. Its totient is φ = 82354406400.

The previous prime is 240200400977. The next prime is 240200401003. The reversal of 240200401000 is 104002042.

240200401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29091395844 + 211109005156 = 170562^2 + 459466^2 .

It is not an unprimeable number, because it can be changed into a prime (240200401003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2402025 + ... + 2500024.

Almost surely, 2^240200401000 is an apocalyptic number.

240200401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240200401000 is an abundant number, since it is smaller than the sum of its proper divisors (413635028000).

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

240200401000 is a wasteful number, since it uses less digits than its factorization.

240200401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902084 (or 4902063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 240200401000 its reverse (104002042), we get a palindrome (240304403042).

The spelling of 240200401000 in words is "two hundred forty billion, two hundred million, four hundred one thousand".