1427231164800 has 768 divisors, whose sum is σ = 5723363681280. Its totient is φ = 305155276800.

The previous prime is 1427231164771. The next prime is 1427231164829. The reversal of 1427231164800 is 84611327241.

It is an interprime number because it is at equal distance from previous prime (1427231164771) and next prime (1427231164829).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 190777060 + ... + 190784540.

It is an arithmetic number, because the mean of its divisors is an integer number (7452296460).

Almost surely, 2^{1427231164800} is an apocalyptic number.

1427231164800 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 1427231164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861681840640).

1427231164800 is an abundant number, since it is smaller than the sum of its proper divisors (4296132516480).

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

1427231164800 is a wasteful number, since it uses less digits than its factorization.

1427231164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 1427231164800 in words is "one trillion, four hundred twenty-seven billion, two hundred thirty-one million, one hundred sixty-four thousand, eight hundred".