408043160965440 has 8064 divisors, whose sum is σ = 2078987518033920. Its totient is φ = 71644187197440.

The previous prime is 408043160965403. The next prime is 408043160965469. The reversal of 408043160965440 is 44569061340804.

408043160965440 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 4 + 3 + 1 + 6 + 0 + 96 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 5165103303321 + ... + 5165103303399.

Almost surely, 2^{408043160965440} is an apocalyptic number.

408043160965440 is a gapful number since it is divisible by the number (40) 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 408043160965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039493759016960).

408043160965440 is an abundant number, since it is smaller than the sum of its proper divisors (1670944357068480).

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

408043160965440 is a wasteful number, since it uses less digits than its factorization.

408043160965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 408043160965440 in words is "four hundred eight trillion, forty-three billion, one hundred sixty million, nine hundred sixty-five thousand, four hundred forty".