1413407121424 has 45 divisors (see below), whose sum is σ = 2890377207423. Its totient is φ = 669465837216.

The previous prime is 1413407121407. The next prime is 1413407121433. The reversal of 1413407121424 is 4241217043141.

The square root of 1413407121424 is 1188868.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1413407121424.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90346147 + ... + 90361789.

Almost surely, 2^{1413407121424} is an apocalyptic number.

1413407121424 is the 1188868-th square number.

It is an amenable number.

1413407121424 is an abundant number, since it is smaller than the sum of its proper divisors (1476970085999).

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

1413407121424 is an frugal number, since it uses more digits than its factorization.

1413407121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31332 (or 15664 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 1413407121424 in words is "one trillion, four hundred thirteen billion, four hundred seven million, one hundred twenty-one thousand, four hundred twenty-four".