409894538323776 has 112 divisors (see below), whose sum is σ = 1183110611005440. Its totient is φ = 124209844549120.

The previous prime is 409894538323771. The next prime is 409894538323783. The reversal of 409894538323776 is 677323835498904.

It is a super-2 number, since 2×409894538323776² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409894538323771) 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 15 ways as a sum of consecutive naturals, for example, 593716255 + ... + 594406241.

Almost surely, 2^{409894538323776} is an apocalyptic number.

It is an amenable number.

409894538323776 is an abundant number, since it is smaller than the sum of its proper divisors (773216072681664).

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

409894538323776 is a wasteful number, since it uses less digits than its factorization.

409894538323776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971292 (or 971282 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 78.

The spelling of 409894538323776 in words is "four hundred nine trillion, eight hundred ninety-four billion, five hundred thirty-eight million, three hundred twenty-three thousand, seven hundred seventy-six".