9964011440 has 80 divisors (see below), whose sum is σ = 24694178400. Its totient is φ = 3725905920.

The previous prime is 9964011439. The next prime is 9964011461. The reversal of 9964011440 is 441104699.

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

It is a junction number, because it is equal to n+sod(n) for n = 9964011394 and 9964011403.

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, 178055 + ... + 227225.

It is an arithmetic number, because the mean of its divisors is an integer number (308677230).

Almost surely, 2^9964011440 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 9964011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347089200).

9964011440 is an abundant number, since it is smaller than the sum of its proper divisors (14730166960).

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

9964011440 is a wasteful number, since it uses less digits than its factorization.

9964011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49350 (or 49344 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 9964011440 is about 99819.8950109646. The cubic root of 9964011440 is about 2151.8470833333.

The spelling of 9964011440 in words is "nine billion, nine hundred sixty-four million, eleven thousand, four hundred forty".