1020732748800 has 264 divisors, whose sum is σ = 3405131048736. Its totient is φ = 269649346560.

The previous prime is 1020732748799. The next prime is 1020732748837. The reversal of 1020732748800 is 88472370201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8155494 + ... + 8279706.

Almost surely, 2^{1020732748800} is an apocalyptic number.

1020732748800 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 1020732748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702565524368).

1020732748800 is an abundant number, since it is smaller than the sum of its proper divisors (2384398299936).

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

1020732748800 is a wasteful number, since it uses less digits than its factorization.

1020732748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124353 (or 124330 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 1020732748800 in words is "one trillion, twenty billion, seven hundred thirty-two million, seven hundred forty-eight thousand, eight hundred".