1283260957440 has 576 divisors, whose sum is σ = 5228594122752. Its totient is φ = 260447846400.

The previous prime is 1283260957411. The next prime is 1283260957481. The reversal of 1283260957440 is 447590623821.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12663775 + ... + 12764705.

It is an arithmetic number, because the mean of its divisors is an integer number (9077420352).

It is a 1-persistent number, because it is pandigital, but 2⋅1283260957440 = 2566521914880 is not.

Almost surely, 2^{1283260957440} is an apocalyptic number.

1283260957440 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 1283260957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614297061376).

1283260957440 is an abundant number, since it is smaller than the sum of its proper divisors (3945333165312).

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

1283260957440 is a wasteful number, since it uses less digits than its factorization.

1283260957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101016 (or 101002 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1283260957440 in words is "one trillion, two hundred eighty-three billion, two hundred sixty million, nine hundred fifty-seven thousand, four hundred forty".