1412281920 has 224 divisors, whose sum is σ = 5230368000. Its totient is φ = 322732032.

The previous prime is 1412281909. The next prime is 1412281963. The reversal of 1412281920 is 291822141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327136 + ... + 331424.

Almost surely, 2^1412281920 is an apocalyptic number.

1412281920 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 1412281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615184000).

1412281920 is an abundant number, since it is smaller than the sum of its proper divisors (3818086080).

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

1412281920 is an equidigital number, since it uses as much as digits as its factorization.

1412281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1412281920 is about 37580.3395407758. The cubic root of 1412281920 is about 1121.9507669336.

The spelling of 1412281920 in words is "one billion, four hundred twelve million, two hundred eighty-one thousand, nine hundred twenty".