409679088297216 has 288 divisors, whose sum is σ = 1150196262039552. Its totient is φ = 129196494028800.

The previous prime is 409679088297197. The next prime is 409679088297217. The reversal of 409679088297216 is 612792880976904.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409679088297217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497222816 + ... + 1497496416.

Almost surely, 2^{409679088297216} is an apocalyptic number.

409679088297216 is a gapful number since it is divisible by the number (46) 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 409679088297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575098131019776).

409679088297216 is an abundant number, since it is smaller than the sum of its proper divisors (740517173742336).

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

409679088297216 is a wasteful number, since it uses less digits than its factorization.

409679088297216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274569 (or 274555 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 78.

The spelling of 409679088297216 in words is "four hundred nine trillion, six hundred seventy-nine billion, eighty-eight million, two hundred ninety-seven thousand, two hundred sixteen".