10260809317440 has 560 divisors, whose sum is σ = 40037828935104. Its totient is φ = 2473713561600.

The previous prime is 10260809317433. The next prime is 10260809317469. The reversal of 10260809317440 is 4471390806201.

10260809317440 is a `hidden beast` number, since 1 + 0 + 2 + 608 + 0 + 9 + 31 + 7 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51507307 + ... + 51706133.

Almost surely, 2^{10260809317440} is an apocalyptic number.

10260809317440 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 10260809317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018914467552).

10260809317440 is an abundant number, since it is smaller than the sum of its proper divisors (29777019617664).

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

10260809317440 is a wasteful number, since it uses less digits than its factorization.

10260809317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199048 (or 199029 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10260809317440 in words is "ten trillion, two hundred sixty billion, eight hundred nine million, three hundred seventeen thousand, four hundred forty".