1020455002304 has 112 divisors (see below), whose sum is σ = 2201520595680. Its totient is φ = 467754393600.

The previous prime is 1020455002291. The next prime is 1020455002339. The reversal of 1020455002304 is 4032005540201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4596254 + ... + 4813154.

It is an arithmetic number, because the mean of its divisors is an integer number (19656433890).

Almost surely, 2^{1020455002304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020455002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100760297840).

1020455002304 is an abundant number, since it is smaller than the sum of its proper divisors (1181065593376).

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

1020455002304 is a wasteful number, since it uses less digits than its factorization.

1020455002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217058 (or 217048 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 1020455002304 in words is "one trillion, twenty billion, four hundred fifty-five million, two thousand, three hundred four".