260844640439040 has 1728 divisors, whose sum is σ = 1090224076032000. Its totient is φ = 57488608493568.

The previous prime is 260844640438981. The next prime is 260844640439059. The reversal of 260844640439040 is 40934046448062.

It is a happy number.

260844640439040 is a `hidden beast` number, since 2 + 60 + 84 + 46 + 40 + 4 + 390 + 40 = 666.

It is a super-2 number, since 2×260844640439040² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149310039447 + ... + 149310041193.

Almost surely, 2^{260844640439040} is an apocalyptic number.

260844640439040 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 260844640439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545112038016000).

260844640439040 is an abundant number, since it is smaller than the sum of its proper divisors (829379435592960).

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

260844640439040 is a wasteful number, since it uses less digits than its factorization.

260844640439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 260844640439040 in words is "two hundred sixty trillion, eight hundred forty-four billion, six hundred forty million, four hundred thirty-nine thousand, forty".