9891414040 has 32 divisors (see below), whose sum is σ = 23223322080. Its totient is φ = 3784540672.

The previous prime is 9891414037. The next prime is 9891414073. The reversal of 9891414040 is 404141989.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9891413984 and 9891414002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5374849 + ... + 5376688.

It is an arithmetic number, because the mean of its divisors is an integer number (725728815).

Almost surely, 2^9891414040 is an apocalyptic number.

It is an amenable number.

9891414040 is an abundant number, since it is smaller than the sum of its proper divisors (13331908040).

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

9891414040 is a wasteful number, since it uses less digits than its factorization.

9891414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751571 (or 10751567 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 9891414040 is about 99455.5882793923. The cubic root of 9891414040 is about 2146.6082479419.

The spelling of 9891414040 in words is "nine billion, eight hundred ninety-one million, four hundred fourteen thousand, forty".