413929145616 has 160 divisors (see below), whose sum is σ = 1258676582400. Its totient is φ = 117159686784.

The previous prime is 413929145611. The next prime is 413929145621. The reversal of 413929145616 is 616541929314.

It is an interprime number because it is at equal distance from previous prime (413929145611) and next prime (413929145621).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (413929145611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644165 + ... + 1879131.

It is an arithmetic number, because the mean of its divisors is an integer number (7866728640).

Almost surely, 2^413929145616 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 413929145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629338291200).

413929145616 is an abundant number, since it is smaller than the sum of its proper divisors (844747436784).

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

413929145616 is a wasteful number, since it uses less digits than its factorization.

413929145616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235106 (or 235086 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The spelling of 413929145616 in words is "four hundred thirteen billion, nine hundred twenty-nine million, one hundred forty-five thousand, six hundred sixteen".