9940201956 has 192 divisors, whose sum is σ = 28148736000. Its totient is φ = 3021909120.

The previous prime is 9940201949. The next prime is 9940201967. The reversal of 9940201956 is 6591020499.

9940201956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9940201956² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19528630 + ... + 19529138.

It is an arithmetic number, because the mean of its divisors is an integer number (146608000).

Almost surely, 2^9940201956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9940201956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14074368000).

9940201956 is an abundant number, since it is smaller than the sum of its proper divisors (18208534044).

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

9940201956 is a wasteful number, since it uses less digits than its factorization.

9940201956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9940201956 is about 99700.5614628122. The cubic root of 9940201956 is about 2150.1317356454.

The spelling of 9940201956 in words is "nine billion, nine hundred forty million, two hundred one thousand, nine hundred fifty-six".