260408407811328 has 432 divisors, whose sum is σ = 901732381845120. Its totient is φ = 73909656576000.

The previous prime is 260408407811261. The next prime is 260408407811401. The reversal of 260408407811328 is 823118704804062.

260408407811328 is a `hidden beast` number, since 2 + 60 + 40 + 8 + 407 + 8 + 1 + 132 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 48595948 + ... + 53687828.

Almost surely, 2^{260408407811328} is an apocalyptic number.

260408407811328 is a gapful number since it is divisible by the number (28) 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 260408407811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450866190922560).

260408407811328 is an abundant number, since it is smaller than the sum of its proper divisors (641323974033792).

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

260408407811328 is a wasteful number, since it uses less digits than its factorization.

260408407811328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092071 (or 5092044 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 260408407811328 in words is "two hundred sixty trillion, four hundred eight billion, four hundred seven million, eight hundred eleven thousand, three hundred twenty-eight".