1412385984 has 168 divisors, whose sum is σ = 4228752528. Its totient is φ = 467389440.

The previous prime is 1412385979. The next prime is 1412385991. The reversal of 1412385984 is 4895832141.

1412385984 is a `hidden beast` number, since 14 + 12 + 38 + 598 + 4 = 666.

It is a super-3 number, since 3×1412385984³ (a number of 28 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3063514 + ... + 3063974.

It is an arithmetic number, because the mean of its divisors is an integer number (25171146).

Almost surely, 2^1412385984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114376264).

1412385984 is an abundant number, since it is smaller than the sum of its proper divisors (2816366544).

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

1412385984 is an equidigital number, since it uses as much as digits as its factorization.

1412385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 663 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1412385984 is about 37581.7240690206. The cubic root of 1412385984 is about 1121.9783232393.

The spelling of 1412385984 in words is "one billion, four hundred twelve million, three hundred eighty-five thousand, nine hundred eighty-four".