1082464793280 has 840 divisors, whose sum is σ = 4238894010384. Its totient is φ = 262020096000.

The previous prime is 1082464793279. The next prime is 1082464793299. The reversal of 1082464793280 is 823974642801.

1082464793280 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 464 + 79 + 32 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 267207255 + ... + 267211305.

Almost surely, 2^{1082464793280} is an apocalyptic number.

1082464793280 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 1082464793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119447005192).

1082464793280 is an abundant number, since it is smaller than the sum of its proper divisors (3156429217104).

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

1082464793280 is a wasteful number, since it uses less digits than its factorization.

1082464793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1082464793280 in words is "one trillion, eighty-two billion, four hundred sixty-four million, seven hundred ninety-three thousand, two hundred eighty".