413167201106000 has 80 divisors (see below), whose sum is σ = 1089859955266368. Its totient is φ = 150242618576000.

The previous prime is 413167201105969. The next prime is 413167201106003. The reversal of 413167201106000 is 601102761314.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413167201106003) 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, 9390141662 + ... + 9390185661.

Almost surely, 2^{413167201106000} is an apocalyptic number.

413167201106000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413167201106000 is an abundant number, since it is smaller than the sum of its proper divisors (676692754160368).

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

413167201106000 is a wasteful number, since it uses less digits than its factorization.

413167201106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18780327357 (or 18780327341 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

Adding to 413167201106000 its reverse (601102761314), we get a palindrome (413768303867314).

The spelling of 413167201106000 in words is "four hundred thirteen trillion, one hundred sixty-seven billion, two hundred one million, one hundred six thousand".