48075325440 has 480 divisors, whose sum is σ = 167825758464. Its totient is φ = 11702108160.

The previous prime is 48075325439. The next prime is 48075325471. The reversal of 48075325440 is 4452357084.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×48075325440³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 48075325392 and 48075325401.

It is a congruent number.

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, 154582885 + ... + 154583195.

Almost surely, 2^48075325440 is an apocalyptic number.

48075325440 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 48075325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83912879232).

48075325440 is an abundant number, since it is smaller than the sum of its proper divisors (119750433024).

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

48075325440 is a wasteful number, since it uses less digits than its factorization.

48075325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 48075325440 in words is "forty-eight billion, seventy-five million, three hundred twenty-five thousand, four hundred forty".