1009905420800 has 60 divisors (see below), whose sum is σ = 2502119610606. Its totient is φ = 403962163200.

The previous prime is 1009905420773. The next prime is 1009905420847. The reversal of 1009905420800 is 80245099001.

It can be written as a sum of positive squares in 3 ways, for example, as 877024758016 + 132880662784 = 936496^2 + 364528^2 .

It is a super-2 number, since 2×1009905420800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39436631 + ... + 39462230.

Almost surely, 2^{1009905420800} is an apocalyptic number.

1009905420800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009905420800 is an abundant number, since it is smaller than the sum of its proper divisors (1492214189806).

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

1009905420800 is an frugal number, since it uses more digits than its factorization.

1009905420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78898889 (or 78898868 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 1009905420800 in words is "one trillion, nine billion, nine hundred five million, four hundred twenty thousand, eight hundred".