1286001360400 has 45 divisors (see below), whose sum is σ = 3089672758983. Its totient is φ = 514391472000.

The previous prime is 1286001360379. The next prime is 1286001360401. The reversal of 1286001360400 is 40631006821.

It is a happy number.

The square root of 1286001360400 is 1134020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9072144 + 1285992288256 = 3012^2 + 1134016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1286001360401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22652050 + ... + 22708750.

Almost surely, 2^{1286001360400} is an apocalyptic number.

1286001360400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1286001360400 is the 1134020-th square number.

It is an amenable number.

1286001360400 is an abundant number, since it is smaller than the sum of its proper divisors (1803671398583).

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

1286001360400 is an frugal number, since it uses more digits than its factorization.

1286001360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113420 (or 56708 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 1286001360400 in words is "one trillion, two hundred eighty-six billion, one million, three hundred sixty thousand, four hundred".