413685544272 has 1280 divisors, whose sum is σ = 1553900544000. Its totient is φ = 93315317760.

The previous prime is 413685544249. The next prime is 413685544273. The reversal of 413685544272 is 272445586314.

It is a super-2 number, since 2×413685544272² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413685544273) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4984163143 + ... + 4984163225.

It is an arithmetic number, because the mean of its divisors is an integer number (1213984800).

Almost surely, 2^413685544272 is an apocalyptic number.

413685544272 is a gapful number since it is divisible by the number (42) 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 413685544272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776950272000).

413685544272 is an abundant number, since it is smaller than the sum of its proper divisors (1140214999728).

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

413685544272 is a wasteful number, since it uses less digits than its factorization.

413685544272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 51.

The spelling of 413685544272 in words is "four hundred thirteen billion, six hundred eighty-five million, five hundred forty-four thousand, two hundred seventy-two".