1020399630705 has 448 divisors, whose sum is σ = 2398805176320. Its totient is φ = 404705714688.

The previous prime is 1020399630697. The next prime is 1020399630769. The reversal of 1020399630705 is 5070369930201.

1020399630705 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 3 + 9 + 9 + 630 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 1020399630705 - 2³ = 1020399630697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 450108982 + ... + 450111248.

It is an arithmetic number, because the mean of its divisors is an integer number (5354475840).

Almost surely, 2^{1020399630705} is an apocalyptic number.

1020399630705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020399630705 is an abundant number, since it is smaller than the sum of its proper divisors (1378405545615).

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

1020399630705 is a wasteful number, since it uses less digits than its factorization.

1020399630705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 1020399630705 in words is "one trillion, twenty billion, three hundred ninety-nine million, six hundred thirty thousand, seven hundred five".