413750829768 has 256 divisors, whose sum is σ = 1176160435200. Its totient is φ = 120640880640.

The previous prime is 413750829763. The next prime is 413750829781. The reversal of 413750829768 is 867928057314.

It is not an unprimeable number, because it can be changed into a prime (413750829761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33916246 + ... + 33928442.

It is an arithmetic number, because the mean of its divisors is an integer number (4594376700).

It is a 1-persistent number, because it is pandigital, but 2⋅413750829768 = 827501659536 is not.

Almost surely, 2^413750829768 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 413750829768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588080217600).

413750829768 is an abundant number, since it is smaller than the sum of its proper divisors (762409605432).

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

413750829768 is a wasteful number, since it uses less digits than its factorization.

413750829768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12360 (or 12356 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 413750829768 in words is "four hundred thirteen billion, seven hundred fifty million, eight hundred twenty-nine thousand, seven hundred sixty-eight".