415013441216 has 112 divisors (see below), whose sum is σ = 906989263488. Its totient is φ = 186846566400.

The previous prime is 415013441201. The next prime is 415013441261. The reversal of 415013441216 is 612144310514.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51918116 + ... + 51926108.

It is an arithmetic number, because the mean of its divisors is an integer number (8098118424).

Almost surely, 2^415013441216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415013441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453494631744).

415013441216 is an abundant number, since it is smaller than the sum of its proper divisors (491975822272).

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

415013441216 is a wasteful number, since it uses less digits than its factorization.

415013441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 415013441216 in words is "four hundred fifteen billion, thirteen million, four hundred forty-one thousand, two hundred sixteen".