48166419840 has 1024 divisors, whose sum is σ = 200344320000. Its totient is φ = 9754214400.

The previous prime is 48166419827. The next prime is 48166419869. The reversal of 48166419840 is 4891466184.

It is a happy number.

48166419840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 441893706 + ... + 441893814.

It is an arithmetic number, because the mean of its divisors is an integer number (195648750).

Almost surely, 2^48166419840 is an apocalyptic number.

48166419840 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 48166419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100172160000).

48166419840 is an abundant number, since it is smaller than the sum of its proper divisors (152177900160).

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

48166419840 is a wasteful number, since it uses less digits than its factorization.

48166419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 48166419840 in words is "forty-eight billion, one hundred sixty-six million, four hundred nineteen thousand, eight hundred forty".