201996763040 has 72 divisors (see below), whose sum is σ = 486392424588. Its totient is φ = 79274024960.

The previous prime is 201996763019. The next prime is 201996763049. The reversal of 201996763040 is 40367699102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 81679353616 + 120317409424 = 285796^2 + 346868^2 .

It is not an unprimeable number, because it can be changed into a prime (201996763049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224720 + ... + 674160.

Almost surely, 2^201996763040 is an apocalyptic number.

201996763040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 449440×449441.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201996763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243196212294).

201996763040 is an abundant number, since it is smaller than the sum of its proper divisors (284395661548).

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

201996763040 is an equidigital number, since it uses as much as digits as its factorization.

201996763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449562 (or 449501 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 47.

The spelling of 201996763040 in words is "two hundred one billion, nine hundred ninety-six million, seven hundred sixty-three thousand, forty".