202583141040 has 160 divisors (see below), whose sum is σ = 729888284160. Its totient is φ = 45519869952.

The previous prime is 202583141009. The next prime is 202583141051. The reversal of 202583141040 is 40141385202.

202583141040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 202583140989 and 202583141007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922789 + ... + 1121028.

It is an arithmetic number, because the mean of its divisors is an integer number (4561801776).

Almost surely, 2^202583141040 is an apocalyptic number.

202583141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202583141040 is an abundant number, since it is smaller than the sum of its proper divisors (527305143120).

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

202583141040 is a wasteful number, since it uses less digits than its factorization.

202583141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043899 (or 2043893 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 202583141040 in words is "two hundred two billion, five hundred eighty-three million, one hundred forty-one thousand, forty".