417440468290560 has 2816 divisors, whose sum is σ = 1664286727864320. Its totient is φ = 87917985792000.

The previous prime is 417440468290541. The next prime is 417440468290577. The reversal of 417440468290560 is 65092864044714.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×417440468290560² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 417440468290494 and 417440468290503.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 381921745374 + ... + 381921746466.

Almost surely, 2^{417440468290560} is an apocalyptic number.

417440468290560 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 417440468290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832143363932160).

417440468290560 is an abundant number, since it is smaller than the sum of its proper divisors (1246846259573760).

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

417440468290560 is a wasteful number, since it uses less digits than its factorization.

417440468290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 417440468290560 in words is "four hundred seventeen trillion, four hundred forty billion, four hundred sixty-eight million, two hundred ninety thousand, five hundred sixty".