4904144448 has 168 divisors, whose sum is σ = 15327026496. Its totient is φ = 1355627520.

The previous prime is 4904144437. The next prime is 4904144467. The reversal of 4904144448 is 8444414094.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×4904144448³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289686 + ... + 1293482.

Almost surely, 2^4904144448 is an apocalyptic number.

4904144448 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 4904144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7663513248).

4904144448 is an abundant number, since it is smaller than the sum of its proper divisors (10422882048).

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

4904144448 is a wasteful number, since it uses less digits than its factorization.

4904144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 4904144448 is about 70029.5969430069. The cubic root of 4904144448 is about 1698.9779840869.

The spelling of 4904144448 in words is "four billion, nine hundred four million, one hundred forty-four thousand, four hundred forty-eight".