404141920448 has 224 divisors, whose sum is σ = 1034486323200. Its totient is φ = 152476286976.

The previous prime is 404141920379. The next prime is 404141920477. The reversal of 404141920448 is 844029141404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×404141920448³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11413940 + ... + 11449292.

Almost surely, 2^404141920448 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 404141920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517243161600).

404141920448 is an abundant number, since it is smaller than the sum of its proper divisors (630344402752).

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

404141920448 is a wasteful number, since it uses less digits than its factorization.

404141920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35487 (or 35477 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 404141920448 in words is "four hundred four billion, one hundred forty-one million, nine hundred twenty thousand, four hundred forty-eight".