9901702440 has 480 divisors, whose sum is σ = 39567813120. Its totient is φ = 2213422848.

The previous prime is 9901702403. The next prime is 9901702457. The reversal of 9901702440 is 442071099.

It is a super-2 number, since 2×9901702440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9901702395 and 9901702404.

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 119 ways as a sum of consecutive naturals, for example, 7461057 + ... + 7462383.

It is an arithmetic number, because the mean of its divisors is an integer number (82432944).

Almost surely, 2^9901702440 is an apocalyptic number.

9901702440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9901702440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19783906560).

9901702440 is an abundant number, since it is smaller than the sum of its proper divisors (29666110680).

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

9901702440 is a wasteful number, since it uses less digits than its factorization.

9901702440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9901702440 is about 99507.2984257939. The cubic root of 9901702440 is about 2147.3522437431.

The spelling of 9901702440 in words is "nine billion, nine hundred one million, seven hundred two thousand, four hundred forty".