408624455233872 has 480 divisors, whose sum is σ = 1260952255390464. Its totient is φ = 127660172083200.

The previous prime is 408624455233861. The next prime is 408624455233901. The reversal of 408624455233872 is 278332554426804.

408624455233872 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 2 + 4 + 4 + 5 + 523 + 38 + 72 = 666.

It is a super-2 number, since 2×408624455233872² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22549764972 + ... + 22549783092.

Almost surely, 2^{408624455233872} 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 408624455233872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630476127695232).

408624455233872 is an abundant number, since it is smaller than the sum of its proper divisors (852327800156592).

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

408624455233872 is a wasteful number, since it uses less digits than its factorization.

408624455233872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19569 (or 19551 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 63.

The spelling of 408624455233872 in words is "four hundred eight trillion, six hundred twenty-four billion, four hundred fifty-five million, two hundred thirty-three thousand, eight hundred seventy-two".