410436497664 has 216 divisors, whose sum is σ = 1255468169592. Its totient is φ = 128510853120.

The previous prime is 410436497663. The next prime is 410436497677. The reversal of 410436497664 is 466794634014.

410436497664 is a `hidden beast` number, since 41 + 0 + 436 + 49 + 76 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10749542400 + 399686955264 = 103680^2 + 632208^2 .

It is a super-2 number, since 2×410436497664² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 410436497664.

It is not an unprimeable number, because it can be changed into a prime (410436497663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20396472 + ... + 20416584.

It is an arithmetic number, because the mean of its divisors is an integer number (5812352637).

Almost surely, 2^410436497664 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 410436497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627734084796).

410436497664 is an abundant number, since it is smaller than the sum of its proper divisors (845031671928).

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

410436497664 is a wasteful number, since it uses less digits than its factorization.

410436497664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20673 (or 20656 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 410436497664 in words is "four hundred ten billion, four hundred thirty-six million, four hundred ninety-seven thousand, six hundred sixty-four".