409677922268160 has 4224 divisors, whose sum is σ = 1756666811547648. Its totient is φ = 80634839040000.

The previous prime is 409677922268159. The next prime is 409677922268179. The reversal of 409677922268160 is 61862229776904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1317292354405 + ... + 1317292354715.

It is an arithmetic number, because the mean of its divisors is an integer number (415877559552).

Almost surely, 2^{409677922268160} is an apocalyptic number.

409677922268160 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 409677922268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878333405773824).

409677922268160 is an abundant number, since it is smaller than the sum of its proper divisors (1346988889279488).

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

409677922268160 is a wasteful number, since it uses less digits than its factorization.

409677922268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 409677922268160 in words is "four hundred nine trillion, six hundred seventy-seven billion, nine hundred twenty-two million, two hundred sixty-eight thousand, one hundred sixty".