260716213440 has 168 divisors, whose sum is σ = 902695423968. Its totient is φ = 69063782400.

The previous prime is 260716213427. The next prime is 260716213451. The reversal of 260716213440 is 44312617062.

260716213440 is a `hidden beast` number, since 2 + 607 + 1 + 6 + 2 + 1 + 3 + 4 + 40 = 666.

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 = 260716213395 and 260716213404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135124 + ... + 734636.

Almost surely, 2^260716213440 is an apocalyptic number.

260716213440 is a gapful number since it is divisible by the number (20) 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 260716213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451347711984).

260716213440 is an abundant number, since it is smaller than the sum of its proper divisors (641979210528).

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

260716213440 is a wasteful number, since it uses less digits than its factorization.

260716213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599687 (or 599674 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 260716213440 in words is "two hundred sixty billion, seven hundred sixteen million, two hundred thirteen thousand, four hundred forty".