1481421312 has 330 divisors, whose sum is σ = 5164780203. Its totient is φ = 423263232.

The previous prime is 1481421301. The next prime is 1481421323. The reversal of 1481421312 is 2131241841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (1481421301) and next prime (1481421323).

It can be written as a sum of positive squares in only one way, i.e., 740710656 + 740710656 = 27216^2 + 27216^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=27216.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (1536) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 211631613 + ... + 211631619.

Almost surely, 2^1481421312 is an apocalyptic number.

1481421312 is a gapful number since it is divisible by the number (12) 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 1481421312

1481421312 is an abundant number, since it is smaller than the sum of its proper divisors (3683358891).

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

1481421312 is an frugal number, since it uses more digits than its factorization.

1481421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1481421312 is about 38489.2363135462. The cubic root of 1481421312 is about 1139.9685309873.

The spelling of 1481421312 in words is "one billion, four hundred eighty-one million, four hundred twenty-one thousand, three hundred twelve".