413149416288 has 96 divisors (see below), whose sum is σ = 1240100015616. Its totient is φ = 117980617728.

The previous prime is 413149416283. The next prime is 413149416349. The reversal of 413149416288 is 882614941314.

It is a Cunningham number, because it is equal to 642767²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 413149416288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413149416283) 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, 1124845 + ... + 1446227.

It is an arithmetic number, because the mean of its divisors is an integer number (12917708496).

Almost surely, 2^413149416288 is an apocalyptic number.

413149416288 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 413149416288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620050007808).

413149416288 is an abundant number, since it is smaller than the sum of its proper divisors (826950599328).

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

413149416288 is a wasteful number, since it uses less digits than its factorization.

413149416288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323316 (or 323308 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The spelling of 413149416288 in words is "four hundred thirteen billion, one hundred forty-nine million, four hundred sixteen thousand, two hundred eighty-eight".