404530073299968 has 2112 divisors, whose sum is σ = 1536426981112320. Its totient is φ = 92986461388800.

The previous prime is 404530073299823. The next prime is 404530073299969. The reversal of 404530073299968 is 869992370035404.

It is a tau number, because it is divible by the number of its divisors (2112).

It is not an unprimeable number, because it can be changed into a prime (404530073299969) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73271157048 + ... + 73271162568.

It is an arithmetic number, because the mean of its divisors is an integer number (727474896360).

Almost surely, 2^{404530073299968} is an apocalyptic number.

404530073299968 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 404530073299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768213490556160).

404530073299968 is an abundant number, since it is smaller than the sum of its proper divisors (1131896907812352).

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

404530073299968 is a wasteful number, since it uses less digits than its factorization.

404530073299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5742 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 69.

The spelling of 404530073299968 in words is "four hundred four trillion, five hundred thirty billion, seventy-three million, two hundred ninety-nine thousand, nine hundred sixty-eight".