415230624016 has 160 divisors (see below), whose sum is σ = 925140787200. Its totient is φ = 179054633472.

The previous prime is 415230624013. The next prime is 415230624037. The reversal of 415230624016 is 610426032514.

It is a super-2 number, since 2×415230624016² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (415230624013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134682411 + ... + 134685493.

It is an arithmetic number, because the mean of its divisors is an integer number (5782129920).

Almost surely, 2^415230624016 is an apocalyptic number.

415230624016 is a gapful number since it is divisible by the number (46) 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 415230624016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462570393600).

415230624016 is an abundant number, since it is smaller than the sum of its proper divisors (509910163184).

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

415230624016 is a wasteful number, since it uses less digits than its factorization.

415230624016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 415230624016 in words is "four hundred fifteen billion, two hundred thirty million, six hundred twenty-four thousand, sixteen".