971751242240 has 160 divisors (see below), whose sum is σ = 2355672084480. Its totient is φ = 384415432704.

The previous prime is 971751242201. The next prime is 971751242291. The reversal of 971751242240 is 42242157179.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 971751242191 and 971751242200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244956737 + ... + 244960703.

It is an arithmetic number, because the mean of its divisors is an integer number (14722950528).

Almost surely, 2^971751242240 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 971751242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177836042240).

971751242240 is an abundant number, since it is smaller than the sum of its proper divisors (1383920842240).

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

971751242240 is a wasteful number, since it uses less digits than its factorization.

971751242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 971751242240 in words is "nine hundred seventy-one billion, seven hundred fifty-one million, two hundred forty-two thousand, two hundred forty".