1283139040320 has 280 divisors, whose sum is σ = 4632482219904. Its totient is φ = 337062933504.

The previous prime is 1283139040199. The next prime is 1283139040349. The reversal of 1283139040320 is 230409313821.

1283139040320 is a `hidden beast` number, since 1 + 283 + 13 + 9 + 0 + 40 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1367209 + ... + 2106071.

Almost surely, 2^{1283139040320} is an apocalyptic number.

1283139040320 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 1283139040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316241109952).

1283139040320 is an abundant number, since it is smaller than the sum of its proper divisors (3349343179584).

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

1283139040320 is an equidigital number, since it uses as much as digits as its factorization.

1283139040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738959 (or 738940 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1283139040320 in words is "one trillion, two hundred eighty-three billion, one hundred thirty-nine million, forty thousand, three hundred twenty".