408241524096 has 192 divisors, whose sum is σ = 1392305940480. Its totient is φ = 116640373248.

The previous prime is 408241524079. The next prime is 408241524127. The reversal of 408241524096 is 690425142804.

It is a happy number.

408241524096 is a `hidden beast` number, since 4 + 0 + 82 + 41 + 524 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×408241524096³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719776 + ... + 1155231.

It is an arithmetic number, because the mean of its divisors is an integer number (7251593440).

Almost surely, 2^408241524096 is an apocalyptic number.

It is an amenable number.

408241524096 is an abundant number, since it is smaller than the sum of its proper divisors (984064416384).

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

408241524096 is an equidigital number, since it uses as much as digits as its factorization.

408241524096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875043 (or 1875019 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 408241524096 in words is "four hundred eight billion, two hundred forty-one million, five hundred twenty-four thousand, ninety-six".