1261413360000 has 480 divisors, whose sum is σ = 4565158369200. Its totient is φ = 334204416000.

The previous prime is 1261413359993. The next prime is 1261413360007. The reversal of 1261413360000 is 633141621.

1261413360000 is a `hidden beast` number, since 1 + 2 + 614 + 13 + 36 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1261413359993) and next prime (1261413360007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261413360007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113034421 + ... + 113045579.

Almost surely, 2^{1261413360000} is an apocalyptic number.

1261413360000 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 1261413360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282579184600).

1261413360000 is an abundant number, since it is smaller than the sum of its proper divisors (3303745009200).

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

1261413360000 is a wasteful number, since it uses less digits than its factorization.

1261413360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356 (or 11326 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1261413360000 in words is "one trillion, two hundred sixty-one billion, four hundred thirteen million, three hundred sixty thousand".