438004290048 has 80 divisors (see below), whose sum is σ = 1256630153856. Its totient is φ = 134770544640.

The previous prime is 438004290047. The next prime is 438004290077. The reversal of 438004290048 is 840092400834.

It is a junction number, because it is equal to n+sod(n) for n = 438004289991 and 438004290009.

It is not an unprimeable number, because it can be changed into a prime (438004290047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10947688 + ... + 10987623.

Almost surely, 2^438004290048 is an apocalyptic number.

438004290048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

438004290048 is an abundant number, since it is smaller than the sum of its proper divisors (818625863808).

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

438004290048 is a wasteful number, since it uses less digits than its factorization.

438004290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21935345 (or 21935329 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 438004290048 in words is "four hundred thirty-eight billion, four million, two hundred ninety thousand, forty-eight".