260390557440 has 864 divisors, whose sum is σ = 1021456590336. Its totient is φ = 63123701760.

The previous prime is 260390557333. The next prime is 260390557447. The reversal of 260390557440 is 44755093062.

260390557440 is a `hidden beast` number, since 2 + 6 + 0 + 3 + 90 + 557 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260390557447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287089467 + ... + 287090373.

It is an arithmetic number, because the mean of its divisors is an integer number (1182241424).

Almost surely, 2^260390557440 is an apocalyptic number.

260390557440 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 260390557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510728295168).

260390557440 is an abundant number, since it is smaller than the sum of its proper divisors (761066032896).

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

260390557440 is an equidigital number, since it uses as much as digits as its factorization.

260390557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 260390557440 in words is "two hundred sixty billion, three hundred ninety million, five hundred fifty-seven thousand, four hundred forty".