1027802730240 has 972 divisors, whose sum is σ = 4233533253768. Its totient is φ = 229945098240.

The previous prime is 1027802730239. The next prime is 1027802730287. The reversal of 1027802730240 is 420372087201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1027802730195 and 1027802730204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 235570299 + ... + 235574661.

Almost surely, 2^{1027802730240} is an apocalyptic number.

1027802730240 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 1027802730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116766626884).

1027802730240 is an abundant number, since it is smaller than the sum of its proper divisors (3205730523528).

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

1027802730240 is a wasteful number, since it uses less digits than its factorization.

1027802730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1027802730240 in words is "one trillion, twenty-seven billion, eight hundred two million, seven hundred thirty thousand, two hundred forty".