1427961013248 has 528 divisors, whose sum is σ = 4853089697792. Its totient is φ = 365318553600.

The previous prime is 1427961013229. The next prime is 1427961013267. The reversal of 1427961013248 is 8423101697241.

It is an interprime number because it is at equal distance from previous prime (1427961013229) and next prime (1427961013267).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1427961013197 and 1427961013206.

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 47 ways as a sum of consecutive naturals, for example, 174328833 + ... + 174337023.

Almost surely, 2^{1427961013248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427961013248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426544848896).

1427961013248 is an abundant number, since it is smaller than the sum of its proper divisors (3425128684544).

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

1427961013248 is a wasteful number, since it uses less digits than its factorization.

1427961013248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 1427961013248 in words is "one trillion, four hundred twenty-seven billion, nine hundred sixty-one million, thirteen thousand, two hundred forty-eight".