1413381312 has 168 divisors, whose sum is σ = 4801794816. Its totient is φ = 403792128.

The previous prime is 1413381269. The next prime is 1413381331. The reversal of 1413381312 is 2131833141.

1413381312 is a `hidden beast` number, since 14 + 1 + 338 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1413381312² = 3995293466221682688, which contains 22 as substring.

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.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102373 + ... + 115355.

It is an arithmetic number, because the mean of its divisors is an integer number (28582112).

Almost surely, 2^1413381312 is an apocalyptic number.

1413381312 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 1413381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400897408).

1413381312 is an abundant number, since it is smaller than the sum of its proper divisors (3388413504).

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

1413381312 is an equidigital number, since it uses as much as digits as its factorization.

1413381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13017 (or 12995 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1413381312 is about 37594.9639180569. The cubic root of 1413381312 is about 1122.2418192499.

The spelling of 1413381312 in words is "one billion, four hundred thirteen million, three hundred eighty-one thousand, three hundred twelve".