9935466240 has 288 divisors, whose sum is σ = 36596560896. Its totient is φ = 2250178560.

The previous prime is 9935466217. The next prime is 9935466251. The reversal of 9935466240 is 426645399.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9935466240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3035805 + ... + 3039075.

It is an arithmetic number, because the mean of its divisors is an integer number (127071392).

Almost surely, 2^9935466240 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 9935466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18298280448).

9935466240 is an abundant number, since it is smaller than the sum of its proper divisors (26661094656).

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

9935466240 is a wasteful number, since it uses less digits than its factorization.

9935466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 9935466240 is about 99676.8089376862. The cubic root of 9935466240 is about 2149.7902257924.

The spelling of 9935466240 in words is "nine billion, nine hundred thirty-five million, four hundred sixty-six thousand, two hundred forty".