1412218503424 has 135 divisors (see below), whose sum is σ = 3006800387857. Its totient is φ = 661987524608.

The previous prime is 1412218503413. The next prime is 1412218503529. The reversal of 1412218503424 is 4243058122141.

The square root of 1412218503424 is 1188368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 285156000000 + 1127062503424 = 534000^2 + 1061632^2 .

It is a super-3 number, since 3×1412218503424³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 5495013504 + ... + 5495013760.

Almost surely, 2^{1412218503424} is an apocalyptic number.

1412218503424 is the 1188368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412218503424

1412218503424 is an abundant number, since it is smaller than the sum of its proper divisors (1594581884433).

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

1412218503424 is an frugal number, since it uses more digits than its factorization.

1412218503424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 1412218503424 in words is "one trillion, four hundred twelve billion, two hundred eighteen million, five hundred three thousand, four hundred twenty-four".