260641112400 has 360 divisors, whose sum is σ = 912412762560. Its totient is φ = 68898816000.

The previous prime is 260641112359. The next prime is 260641112437. The reversal of 260641112400 is 4211146062.

260641112400 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 411 + 1 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 406616080 + ... + 406616720.

It is an arithmetic number, because the mean of its divisors is an integer number (2534479896).

Almost surely, 2^260641112400 is an apocalyptic number.

260641112400 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 260641112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456206381280).

260641112400 is an abundant number, since it is smaller than the sum of its proper divisors (651771650160).

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

260641112400 is a wasteful number, since it uses less digits than its factorization.

260641112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 260641112400 its reverse (4211146062), we get a palindrome (264852258462).

The spelling of 260641112400 in words is "two hundred sixty billion, six hundred forty-one million, one hundred twelve thousand, four hundred".