404153072563968 has 1728 divisors, whose sum is σ = 1577959606845440. Its totient is φ = 100181327855616.

The previous prime is 404153072563913. The next prime is 404153072563973. The reversal of 404153072563968 is 869365270351404.

404153072563968 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 5 + 3 + 0 + 7 + 2 + 563 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 13659804471 + ... + 13659834057.

It is a 2-persistent number, because it is pandigital, and so is 2⋅404153072563968 = 808306145127936, but 3⋅404153072563968 = 1212459217691904 is not.

Almost surely, 2^{404153072563968} is an apocalyptic number.

404153072563968 is a gapful number since it is divisible by the number (48) 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 404153072563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788979803422720).

404153072563968 is an abundant number, since it is smaller than the sum of its proper divisors (1173806534281472).

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

404153072563968 is a wasteful number, since it uses less digits than its factorization.

404153072563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29784 (or 29758 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 404153072563968 in words is "four hundred four trillion, one hundred fifty-three billion, seventy-two million, five hundred sixty-three thousand, nine hundred sixty-eight".