404904001968 has 120 divisors (see below), whose sum is σ = 1142698188528. Its totient is φ = 133835175936.

The previous prime is 404904001967. The next prime is 404904001969. The reversal of 404904001968 is 869100409404.

It is an interprime number because it is at equal distance from previous prime (404904001967) and next prime (404904001969).

It is a super-3 number, since 3×404904001968³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (404904001963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18671580 + ... + 18693252.

Almost surely, 2^404904001968 is an apocalyptic number.

404904001968 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 404904001968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571349094264).

404904001968 is an abundant number, since it is smaller than the sum of its proper divisors (737794186560).

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

404904001968 is a wasteful number, since it uses less digits than its factorization.

404904001968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22771 (or 22762 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 404904001968 in words is "four hundred four billion, nine hundred four million, one thousand, nine hundred sixty-eight".