202344013040 has 80 divisors (see below), whose sum is σ = 524108642400. Its totient is φ = 72135361536.

The previous prime is 202344013031. The next prime is 202344013057. The reversal of 202344013040 is 40310443202.

202344013040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×202344013040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202344012997 and 202344013015.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3324350 + ... + 3384669.

It is an arithmetic number, because the mean of its divisors is an integer number (6551358030).

Almost surely, 2^202344013040 is an apocalyptic number.

202344013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202344013040 is an abundant number, since it is smaller than the sum of its proper divisors (321764629360).

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

202344013040 is a wasteful number, since it uses less digits than its factorization.

202344013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709074 (or 6709068 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 202344013040 its reverse (40310443202), we get a palindrome (242654456242).

The spelling of 202344013040 in words is "two hundred two billion, three hundred forty-four million, thirteen thousand, forty".