267130450041200 has 240 divisors, whose sum is σ = 651815973607680. Its totient is φ = 105192172800000.

The previous prime is 267130450041163. The next prime is 267130450041211. The reversal of 267130450041200 is 2140054031762.

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, 47778650405 + ... + 47778655995.

It is an arithmetic number, because the mean of its divisors is an integer number (2715899890032).

Almost surely, 2^{267130450041200} is an apocalyptic number.

267130450041200 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 267130450041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325907986803840).

267130450041200 is an abundant number, since it is smaller than the sum of its proper divisors (384685523566480).

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

267130450041200 is a wasteful number, since it uses less digits than its factorization.

267130450041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11296 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 267130450041200 in words is "two hundred sixty-seven trillion, one hundred thirty billion, four hundred fifty million, forty-one thousand, two hundred".