417448964724480 has 864 divisors, whose sum is σ = 1568357348253696. Its totient is φ = 101903504080896.

The previous prime is 417448964724461. The next prime is 417448964724527. The reversal of 417448964724480 is 84427469844714.

417448964724480 is a `hidden beast` number, since 4 + 1 + 7 + 4 + 4 + 89 + 6 + 47 + 24 + 480 = 666.

It is a super-2 number, since 2×417448964724480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 417448964724399 and 417448964724408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76135135819 + ... + 76135141301.

Almost surely, 2^{417448964724480} is an apocalyptic number.

417448964724480 is a gapful number since it is divisible by the number (40) 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 417448964724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784178674126848).

417448964724480 is an abundant number, since it is smaller than the sum of its proper divisors (1150908383529216).

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

417448964724480 is a wasteful number, since it uses less digits than its factorization.

417448964724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9636 counting only the distinct ones).

The product of its (nonzero) digits is 1387266048, while the sum is 72.

The spelling of 417448964724480 in words is "four hundred seventeen trillion, four hundred forty-eight billion, nine hundred sixty-four million, seven hundred twenty-four thousand, four hundred eighty".