1283253060440 has 128 divisors (see below), whose sum is σ = 3278535825600. Its totient is φ = 448129843200.

The previous prime is 1283253060407. The next prime is 1283253060443. The reversal of 1283253060440 is 440603523821.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1283253060394 and 1283253060403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283253060443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5829824 + ... + 6045936.

Almost surely, 2^{1283253060440} is an apocalyptic number.

1283253060440 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 1283253060440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639267912800).

1283253060440 is an abundant number, since it is smaller than the sum of its proper divisors (1995282765160).

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

1283253060440 is a wasteful number, since it uses less digits than its factorization.

1283253060440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216757 (or 216753 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 1283253060440 in words is "one trillion, two hundred eighty-three billion, two hundred fifty-three million, sixty thousand, four hundred forty".