409920860160 has 1404 divisors, whose sum is σ = 1756910721384. Its totient is φ = 91410923520.

The previous prime is 409920860099. The next prime is 409920860171. The reversal of 409920860160 is 61068029904.

It is a happy number.

409920860160 is a `hidden beast` number, since 409 + 9 + 2 + 0 + 86 + 0 + 160 = 666.

It is a super-2 number, since 2×409920860160² (a number of 24 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9998069740 + ... + 9998069780.

Almost surely, 2^409920860160 is an apocalyptic number.

409920860160 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 409920860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878455360692).

409920860160 is an abundant number, since it is smaller than the sum of its proper divisors (1346989861224).

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

409920860160 is an frugal number, since it uses more digits than its factorization.

409920860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 409920860160 in words is "four hundred nine billion, nine hundred twenty million, eight hundred sixty thousand, one hundred sixty".