1262686440960 has 480 divisors, whose sum is σ = 5217453695520. Its totient is φ = 288613269504.

The previous prime is 1262686440907. The next prime is 1262686440991. The reversal of 1262686440960 is 690446862621.

1262686440960 is a `hidden beast` number, since 1 + 2 + 62 + 6 + 86 + 440 + 9 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1262686440897 and 1262686440906.

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, 3200472 + ... + 3573288.

It is an arithmetic number, because the mean of its divisors is an integer number (10869695199).

Almost surely, 2^{1262686440960} is an apocalyptic number.

1262686440960 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 1262686440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608726847760).

1262686440960 is an abundant number, since it is smaller than the sum of its proper divisors (3954767254560).

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

1262686440960 is an equidigital number, since it uses as much as digits as its factorization.

1262686440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372863 (or 372834 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1262686440960 in words is "one trillion, two hundred sixty-two billion, six hundred eighty-six million, four hundred forty thousand, nine hundred sixty".