48044067840 has 880 divisors, whose sum is σ = 184326683904. Its totient is φ = 11943936000.

The previous prime is 48044067821. The next prime is 48044067977. The reversal of 48044067840 is 4876044084.

It is a super-3 number, since 3×48044067840³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 475683790 + ... + 475683890.

Almost surely, 2^48044067840 is an apocalyptic number.

48044067840 is a gapful number since it is divisible by the number (40) 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 48044067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92163341952).

48044067840 is an abundant number, since it is smaller than the sum of its proper divisors (136282616064).

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

48044067840 is a wasteful number, since it uses less digits than its factorization.

48044067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 48044067840 in words is "forty-eight billion, forty-four million, sixty-seven thousand, eight hundred forty".