1020675302400 has 1056 divisors, whose sum is σ = 3743211669120. Its totient is φ = 243762462720.

The previous prime is 1020675302399. The next prime is 1020675302447. The reversal of 1020675302400 is 42035760201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9032524744 + ... + 9032524856.

It is an arithmetic number, because the mean of its divisors is an integer number (3544708020).

Almost surely, 2^{1020675302400} is an apocalyptic number.

1020675302400 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 1020675302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871605834560).

1020675302400 is an abundant number, since it is smaller than the sum of its proper divisors (2722536366720).

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

1020675302400 is a wasteful number, since it uses less digits than its factorization.

1020675302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 1020675302400 in words is "one trillion, twenty billion, six hundred seventy-five million, three hundred two thousand, four hundred".