1011490663200 has 144 divisors (see below), whose sum is σ = 3301092154080. Its totient is φ = 269018910720.

The previous prime is 1011490663189. The next prime is 1011490663213. The reversal of 1011490663200 is 23660941101.

It is a super-2 number, since 2×1011490663200² (a number of 25 digits) contains 22 as substring.

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, 353592 + ... + 1465608.

It is an arithmetic number, because the mean of its divisors is an integer number (22924251070).

Almost surely, 2^{1011490663200} is an apocalyptic number.

1011490663200 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 1011490663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650546077040).

1011490663200 is an abundant number, since it is smaller than the sum of its proper divisors (2289601490880).

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

1011490663200 is a wasteful number, since it uses less digits than its factorization.

1011490663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112419 (or 1112406 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 1011490663200 in words is "one trillion, eleven billion, four hundred ninety million, six hundred sixty-three thousand, two hundred".