413946120440160 has 1728 divisors, whose sum is σ = 1887209573663232. Its totient is φ = 83239529472000.

The previous prime is 413946120440137. The next prime is 413946120440179. The reversal of 413946120440160 is 61044021649314.

413946120440160 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 46 + 1 + 2 + 0 + 440 + 160 = 666.

It is a super-3 number, since 3×413946120440160³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2876931420 + ... + 2877075300.

It is an arithmetic number, because the mean of its divisors is an integer number (1092135169944).

Almost surely, 2^{413946120440160} is an apocalyptic number.

413946120440160 is a gapful number since it is divisible by the number (40) 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 413946120440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943604786831616).

413946120440160 is an abundant number, since it is smaller than the sum of its proper divisors (1473263453223072).

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

413946120440160 is a wasteful number, since it uses less digits than its factorization.

413946120440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143991 (or 143940 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 413946120440160 in words is "four hundred thirteen trillion, nine hundred forty-six billion, one hundred twenty million, four hundred forty thousand, one hundred sixty".