260192611440 has 480 divisors, whose sum is σ = 901275648000. Its totient is φ = 67251824640.

The previous prime is 260192611403. The next prime is 260192611489. The reversal of 260192611440 is 44116291062.

260192611440 is a `hidden beast` number, since 2 + 601 + 9 + 2 + 6 + 1 + 1 + 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 = 260192611395 and 260192611404.

It is a congruent number.

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, 1307500461 + ... + 1307500659.

It is an arithmetic number, because the mean of its divisors is an integer number (1877657600).

Almost surely, 2^260192611440 is an apocalyptic number.

260192611440 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 260192611440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450637824000).

260192611440 is an abundant number, since it is smaller than the sum of its proper divisors (641083036560).

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

260192611440 is a wasteful number, since it uses less digits than its factorization.

260192611440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 260192611440 in words is "two hundred sixty billion, one hundred ninety-two million, six hundred eleven thousand, four hundred forty".