1427793122448 has 720 divisors, whose sum is σ = 5191563611520. Its totient is φ = 362125209600.

The previous prime is 1427793122423. The next prime is 1427793122473. The reversal of 1427793122448 is 8442213977241.

1427793122448 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 79 + 3 + 122 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (1427793122423) and next prime (1427793122473).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1427793122394 and 1427793122403.

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 143 ways as a sum of consecutive naturals, for example, 600669036 + ... + 600671412.

It is an arithmetic number, because the mean of its divisors is an integer number (7210505016).

Almost surely, 2^{1427793122448} is an apocalyptic number.

1427793122448 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 1427793122448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595781805760).

1427793122448 is an abundant number, since it is smaller than the sum of its proper divisors (3763770489072).

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

1427793122448 is a wasteful number, since it uses less digits than its factorization.

1427793122448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2580 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 1427793122448 in words is "one trillion, four hundred twenty-seven billion, seven hundred ninety-three million, one hundred twenty-two thousand, four hundred forty-eight".