1413346256224 has 96 divisors (see below), whose sum is σ = 3370020365376. Its totient is φ = 569593036800.

The previous prime is 1413346256213. The next prime is 1413346256261. The reversal of 1413346256224 is 4226526433141.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4229674 + ... + 4551574.

It is an arithmetic number, because the mean of its divisors is an integer number (35104378806).

Almost surely, 2^{1413346256224} is an apocalyptic number.

1413346256224 is a gapful number since it is divisible by the number (14) 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 1413346256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685010182688).

1413346256224 is an abundant number, since it is smaller than the sum of its proper divisors (1956674109152).

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

1413346256224 is a wasteful number, since it uses less digits than its factorization.

1413346256224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323088 (or 323080 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The spelling of 1413346256224 in words is "one trillion, four hundred thirteen billion, three hundred forty-six million, two hundred fifty-six thousand, two hundred twenty-four".