409321427760 has 1120 divisors, whose sum is σ = 1735416783360. Its totient is φ = 87662518272.

The previous prime is 409321427729. The next prime is 409321427777. The reversal of 409321427760 is 67724123904.

409321427760 is a `hidden beast` number, since 409 + 3 + 214 + 27 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 876491047 + ... + 876491513.

Almost surely, 2^409321427760 is an apocalyptic number.

409321427760 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 409321427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867708391680).

409321427760 is an abundant number, since it is smaller than the sum of its proper divisors (1326095355600).

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

409321427760 is a wasteful number, since it uses less digits than its factorization.

409321427760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 409321427760 in words is "four hundred nine billion, three hundred twenty-one million, four hundred twenty-seven thousand, seven hundred sixty".