1011447216000 has 1024 divisors, whose sum is σ = 4223681280000. Its totient is φ = 235842969600.

The previous prime is 1011447215993. The next prime is 1011447216011. The reversal of 1011447216000 is 6127441101.

1011447216000 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 447 + 216 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106699261 + ... + 106708739.

It is an arithmetic number, because the mean of its divisors is an integer number (4124688750).

Almost surely, 2^{1011447216000} is an apocalyptic number.

1011447216000 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 1011447216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111840640000).

1011447216000 is an abundant number, since it is smaller than the sum of its proper divisors (3212234064000).

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

1011447216000 is a wasteful number, since it uses less digits than its factorization.

1011447216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9549 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 1011447216000 in words is "one trillion, eleven billion, four hundred forty-seven million, two hundred sixteen thousand".