1022274432000 has 880 divisors, whose sum is σ = 3900083464992. Its totient is φ = 266150707200.

The previous prime is 1022274431923. The next prime is 1022274432071. The reversal of 1022274432000 is 2344722201.

1022274432000 is a `hidden beast` number, since 1 + 0 + 2 + 227 + 4 + 432 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 445822854 + ... + 445825146.

Almost surely, 2^{1022274432000} is an apocalyptic number.

1022274432000 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 1022274432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950041732496).

1022274432000 is an abundant number, since it is smaller than the sum of its proper divisors (2877809032992).

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

1022274432000 is an equidigital number, since it uses as much as digits as its factorization.

1022274432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 1022274432000 in words is "one trillion, twenty-two billion, two hundred seventy-four million, four hundred thirty-two thousand".