9700871040 has 1152 divisors, whose sum is σ = 43172438400. Its totient is φ = 2069286912.

The previous prime is 9700871003. The next prime is 9700871083. The reversal of 9700871040 is 401780079.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 9700870986 and 9700871004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144789087 + ... + 144789153.

It is an arithmetic number, because the mean of its divisors is an integer number (37476075).

Almost surely, 2^9700871040 is an apocalyptic number.

9700871040 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 9700871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21586219200).

9700871040 is an abundant number, since it is smaller than the sum of its proper divisors (33471567360).

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

9700871040 is a wasteful number, since it uses less digits than its factorization.

9700871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 9700871040 is about 98492.9999543115. Note that the first 4 decimals coincide. The cubic root of 9700871040 is about 2132.7350700884.

The spelling of 9700871040 in words is "nine billion, seven hundred million, eight hundred seventy-one thousand, forty".