413085667008 has 112 divisors (see below), whose sum is σ = 1250374846464. Its totient is φ = 117903298560.

The previous prime is 413085667003. The next prime is 413085667067. The reversal of 413085667008 is 800766580314.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (413085667003) 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, 1155793 + ... + 1470383.

Almost surely, 2^413085667008 is an apocalyptic number.

413085667008 is a gapful number since it is divisible by the number (48) 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 413085667008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625187423232).

413085667008 is an abundant number, since it is smaller than the sum of its proper divisors (837289179456).

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

413085667008 is a wasteful number, since it uses less digits than its factorization.

413085667008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315590 (or 315580 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 413085667008 in words is "four hundred thirteen billion, eighty-five million, six hundred sixty-seven thousand, eight".