409469857784064 has 1296 divisors, whose sum is σ = 1617519741102720. Its totient is φ = 96647522549760.

The previous prime is 409469857784021. The next prime is 409469857784069. The reversal of 409469857784064 is 460487758964904.

409469857784064 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 6 + 98 + 57 + 78 + 406 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (409469857784069) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1486718752 + ... + 1486994144.

Almost surely, 2^{409469857784064} is an apocalyptic number.

409469857784064 is a gapful number since it is divisible by the number (44) 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 409469857784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808759870551360).

409469857784064 is an abundant number, since it is smaller than the sum of its proper divisors (1208049883318656).

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

409469857784064 is a wasteful number, since it uses less digits than its factorization.

409469857784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275496 (or 275462 counting only the distinct ones).

The product of its (nonzero) digits is 11705057280, while the sum is 81.

The spelling of 409469857784064 in words is "four hundred nine trillion, four hundred sixty-nine billion, eight hundred fifty-seven million, seven hundred eighty-four thousand, sixty-four".