10261722240 has 768 divisors, whose sum is σ = 46811831040. Its totient is φ = 2005401600.

The previous prime is 10261722227. The next prime is 10261722259. The reversal of 10261722240 is 4222716201.

10261722240 is a `hidden beast` number, since 1 + 0 + 2 + 617 + 2 + 2 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7539160 + ... + 7540520.

It is an arithmetic number, because the mean of its divisors is an integer number (60952905).

Almost surely, 2^10261722240 is an apocalyptic number.

10261722240 is a gapful number since it is divisible by the number (10) 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 10261722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405915520).

10261722240 is an abundant number, since it is smaller than the sum of its proper divisors (36550108800).

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

10261722240 is a wasteful number, since it uses less digits than its factorization.

10261722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10261722240 in words is "ten billion, two hundred sixty-one million, seven hundred twenty-two thousand, two hundred forty".