409448369664 has 100 divisors (see below), whose sum is σ = 1222095695304. Its totient is φ = 136482776064.

The previous prime is 409448369653. The next prime is 409448369669. The reversal of 409448369664 is 466963844904.

409448369664 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 483 + 6 + 96 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409448369669) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4894972 + ... + 4977915.

Almost surely, 2^409448369664 is an apocalyptic number.

It is an amenable number.

409448369664 is an abundant number, since it is smaller than the sum of its proper divisors (812647325640).

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

409448369664 is an frugal number, since it uses more digits than its factorization.

409448369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872917 (or 9872892 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 409448369664 in words is "four hundred nine billion, four hundred forty-eight million, three hundred sixty-nine thousand, six hundred sixty-four".