1266382041600 has 1920 divisors, whose sum is σ = 5046477004800. Its totient is φ = 277099315200.

The previous prime is 1266382041571. The next prime is 1266382041647. The reversal of 1266382041600 is 61402836621.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17347699164 + ... + 17347699236.

It is an arithmetic number, because the mean of its divisors is an integer number (2628373440).

Almost surely, 2^{1266382041600} is an apocalyptic number.

1266382041600 is a gapful number since it is divisible by the number (10) 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 1266382041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523238502400).

1266382041600 is an abundant number, since it is smaller than the sum of its proper divisors (3780094963200).

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

1266382041600 is a wasteful number, since it uses less digits than its factorization.

1266382041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1266382041600 in words is "one trillion, two hundred sixty-six billion, three hundred eighty-two million, forty-one thousand, six hundred".