415351287168 has 128 divisors (see below), whose sum is σ = 1182361086720. Its totient is φ = 128851531776.

The previous prime is 415351287161. The next prime is 415351287173. The reversal of 415351287168 is 861782153514.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×415351287168² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 415351287168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415351287161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308730 + ... + 962297.

It is an arithmetic number, because the mean of its divisors is an integer number (9237195990).

Almost surely, 2^415351287168 is an apocalyptic number.

415351287168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

415351287168 is an abundant number, since it is smaller than the sum of its proper divisors (767009799552).

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

415351287168 is a wasteful number, since it uses less digits than its factorization.

415351287168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271104 (or 1271092 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The spelling of 415351287168 in words is "four hundred fifteen billion, three hundred fifty-one million, two hundred eighty-seven thousand, one hundred sixty-eight".