1027222940160 has 640 divisors, whose sum is σ = 3705368198400. Its totient is φ = 269711769600.

The previous prime is 1027222940147. The next prime is 1027222940267. The reversal of 1027222940160 is 610492227201.

1027222940160 is a `hidden beast` number, since 1 + 0 + 27 + 2 + 229 + 401 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1877921007 + ... + 1877921553.

It is an arithmetic number, because the mean of its divisors is an integer number (5789637810).

Almost surely, 2^{1027222940160} is an apocalyptic number.

1027222940160 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 1027222940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852684099200).

1027222940160 is an abundant number, since it is smaller than the sum of its proper divisors (2678145258240).

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

1027222940160 is a wasteful number, since it uses less digits than its factorization.

1027222940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1027222940160 in words is "one trillion, twenty-seven billion, two hundred twenty-two million, nine hundred forty thousand, one hundred sixty".