260445627037440 has 576 divisors, whose sum is σ = 995406014736000. Its totient is φ = 64103773372416.

The previous prime is 260445627037403. The next prime is 260445627037487. The reversal of 260445627037440 is 44730726544062.

260445627037440 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 4 + 5 + 627 + 0 + 3 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6773775336 + ... + 6773813784.

It is an arithmetic number, because the mean of its divisors is an integer number (1728135442250).

Almost surely, 2^{260445627037440} is an apocalyptic number.

260445627037440 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 260445627037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497703007368000).

260445627037440 is an abundant number, since it is smaller than the sum of its proper divisors (734960387698560).

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

260445627037440 is a wasteful number, since it uses less digits than its factorization.

260445627037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53569 (or 53549 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 54.

The spelling of 260445627037440 in words is "two hundred sixty trillion, four hundred forty-five billion, six hundred twenty-seven million, thirty-seven thousand, four hundred forty".