409060832880 has 320 divisors, whose sum is σ = 1537547304960. Its totient is φ = 87880246272.

The previous prime is 409060832879. The next prime is 409060832911. The reversal of 409060832880 is 88238060904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003387 + ... + 4104293.

It is an arithmetic number, because the mean of its divisors is an integer number (4804835328).

Almost surely, 2^409060832880 is an apocalyptic number.

409060832880 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 409060832880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768773652480).

409060832880 is an abundant number, since it is smaller than the sum of its proper divisors (1128486472080).

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

409060832880 is a wasteful number, since it uses less digits than its factorization.

409060832880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101076 (or 101070 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 409060832880 in words is "four hundred nine billion, sixty million, eight hundred thirty-two thousand, eight hundred eighty".