1478814261120 has 512 divisors, whose sum is σ = 6107857920000. Its totient is φ = 338013333504.

The previous prime is 1478814261091. The next prime is 1478814261121. The reversal of 1478814261120 is 211624188741.

1478814261120 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 8 + 1 + 4 + 2 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1478814261121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5802289 + ... + 6051791.

It is an arithmetic number, because the mean of its divisors is an integer number (11929410000).

Almost surely, 2^{1478814261120} is an apocalyptic number.

1478814261120 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 1478814261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053928960000).

1478814261120 is an abundant number, since it is smaller than the sum of its proper divisors (4629043658880).

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

1478814261120 is an equidigital number, since it uses as much as digits as its factorization.

1478814261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249552 (or 249520 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 1478814261120 in words is "one trillion, four hundred seventy-eight billion, eight hundred fourteen million, two hundred sixty-one thousand, one hundred twenty".