413690004613248 has 256 divisors, whose sum is σ = 1211250465936000. Its totient is φ = 124054779985920.

The previous prime is 413690004613231. The next prime is 413690004613253. The reversal of 413690004613248 is 842316400096314.

It is a super-2 number, since 2×413690004613248² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413690004613248.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4166474388 + ... + 4166573676.

Almost surely, 2^{413690004613248} is an apocalyptic number.

413690004613248 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 413690004613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605625232968000).

413690004613248 is an abundant number, since it is smaller than the sum of its proper divisors (797560461322752).

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

413690004613248 is a wasteful number, since it uses less digits than its factorization.

413690004613248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109583 (or 109571 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 413690004613248 in words is "four hundred thirteen trillion, six hundred ninety billion, four million, six hundred thirteen thousand, two hundred forty-eight".