1027224592128 has 360 divisors, whose sum is σ = 3515095317888. Its totient is φ = 293482662912.

The previous prime is 1027224592127. The next prime is 1027224592157. The reversal of 1027224592128 is 8212954227201.

1027224592128 is a `hidden beast` number, since 1 + 0 + 2 + 72 + 2 + 459 + 2 + 128 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027224592127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35257375 + ... + 35286497.

Almost surely, 2^{1027224592128} is an apocalyptic number.

1027224592128 is a gapful number since it is divisible by the number (18) 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 1027224592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757547658944).

1027224592128 is an abundant number, since it is smaller than the sum of its proper divisors (2487870725760).

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

1027224592128 is an frugal number, since it uses more digits than its factorization.

1027224592128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29173 (or 29135 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1027224592128 in words is "one trillion, twenty-seven billion, two hundred twenty-four million, five hundred ninety-two thousand, one hundred twenty-eight".