416668966449120 has 1920 divisors, whose sum is σ = 1858365790364160. Its totient is φ = 86468401152000.

The previous prime is 416668966449061. The next prime is 416668966449179. The reversal of 416668966449120 is 21944669866614.

It is an interprime number because it is at equal distance from previous prime (416668966449061) and next prime (416668966449179).

It is a super-2 number, since 2×416668966449120² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110786748040 + ... + 110786751800.

It is an arithmetic number, because the mean of its divisors is an integer number (967898849148).

Almost surely, 2^{416668966449120} is an apocalyptic number.

416668966449120 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 416668966449120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929182895182080).

416668966449120 is an abundant number, since it is smaller than the sum of its proper divisors (1441696823915040).

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

416668966449120 is a wasteful number, since it uses less digits than its factorization.

416668966449120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4795 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 416668966449120 in words is "four hundred sixteen trillion, six hundred sixty-eight billion, nine hundred sixty-six million, four hundred forty-nine thousand, one hundred twenty".