409459398497136 has 480 divisors, whose sum is σ = 1341112954388480. Its totient is φ = 115489724313600.

The previous prime is 409459398496997. The next prime is 409459398497189. The reversal of 409459398497136 is 631794893954904.

It is a happy number.

409459398497136 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 5 + 9 + 3 + 98 + 497 + 1 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9031439460 + ... + 9031484796.

Almost surely, 2^{409459398497136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409459398497136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670556477194240).

409459398497136 is an abundant number, since it is smaller than the sum of its proper divisors (931653555891344).

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

409459398497136 is a wasteful number, since it uses less digits than its factorization.

409459398497136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53605 (or 53596 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 81.

The spelling of 409459398497136 in words is "four hundred nine trillion, four hundred fifty-nine billion, three hundred ninety-eight million, four hundred ninety-seven thousand, one hundred thirty-six".