1286660840400 has 960 divisors, whose sum is σ = 5359212544000. Its totient is φ = 290349619200.

The previous prime is 1286660840393. The next prime is 1286660840401. The reversal of 1286660840400 is 40480666821.

It is a super-2 number, since 2×1286660840400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1286660840401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82687821 + ... + 82703379.

Almost surely, 2^{1286660840400} is an apocalyptic number.

1286660840400 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 1286660840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679606272000).

1286660840400 is an abundant number, since it is smaller than the sum of its proper divisors (4072551703600).

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

1286660840400 is a wasteful number, since it uses less digits than its factorization.

1286660840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15649 (or 15632 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1286660840400 in words is "one trillion, two hundred eighty-six billion, six hundred sixty million, eight hundred forty thousand, four hundred".