1417226388480 has 1760 divisors, whose sum is σ = 6091911302400. Its totient is φ = 316036546560.

The previous prime is 1417226388433. The next prime is 1417226388493. The reversal of 1417226388480 is 848836227141.

1417226388480 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 22 + 63 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34566497260 + ... + 34566497300.

It is an arithmetic number, because the mean of its divisors is an integer number (3461313240).

Almost surely, 2^{1417226388480} is an apocalyptic number.

1417226388480 is a gapful number since it is divisible by the number (10) 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 1417226388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045955651200).

1417226388480 is an abundant number, since it is smaller than the sum of its proper divisors (4674684913920).

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

1417226388480 is an frugal number, since it uses more digits than its factorization.

1417226388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1417226388480 in words is "one trillion, four hundred seventeen billion, two hundred twenty-six million, three hundred eighty-eight thousand, four hundred eighty".