202006859040 has 960 divisors, whose sum is σ = 860606208000. Its totient is φ = 44552374272.

The previous prime is 202006859027. The next prime is 202006859141. The reversal of 202006859040 is 40958600202.

It is a happy number.

202006859040 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 0 + 68 + 590 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 202006858986 and 202006859004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 128912337 + ... + 128913903.

It is an arithmetic number, because the mean of its divisors is an integer number (896464800).

Almost surely, 2^202006859040 is an apocalyptic number.

202006859040 is a gapful number since it is divisible by the number (20) 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 202006859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430303104000).

202006859040 is an abundant number, since it is smaller than the sum of its proper divisors (658599348960).

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

202006859040 is a wasteful number, since it uses less digits than its factorization.

202006859040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 202006859040 in words is "two hundred two billion, six million, eight hundred fifty-nine thousand, forty".