9971001432 has 192 divisors, whose sum is σ = 33093964800. Its totient is φ = 2647157760.

The previous prime is 9971001427. The next prime is 9971001457. The reversal of 9971001432 is 2341001799.

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

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 47 ways as a sum of consecutive naturals, for example, 669507 + ... + 684237.

It is an arithmetic number, because the mean of its divisors is an integer number (172364400).

Almost surely, 2^9971001432 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 9971001432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546982400).

9971001432 is an abundant number, since it is smaller than the sum of its proper divisors (23122963368).

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

9971001432 is a wasteful number, since it uses less digits than its factorization.

9971001432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14846 (or 14839 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9971001432 is about 99854.9018926963. The cubic root of 9971001432 is about 2152.3501564199.

The spelling of 9971001432 in words is "nine billion, nine hundred seventy-one million, one thousand, four hundred thirty-two".