48168289440 has 240 divisors, whose sum is σ = 170716170240. Its totient is φ = 12790310400.

The previous prime is 48168289439. The next prime is 48168289513. The reversal of 48168289440 is 4498286184.

It is a happy number.

48168289440 is a `hidden beast` number, since 48 + 1 + 6 + 82 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3089665 + ... + 3105215.

It is an arithmetic number, because the mean of its divisors is an integer number (711317376).

Almost surely, 2^48168289440 is an apocalyptic number.

48168289440 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 48168289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85358085120).

48168289440 is an abundant number, since it is smaller than the sum of its proper divisors (122547880800).

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

48168289440 is a wasteful number, since it uses less digits than its factorization.

48168289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15817 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 48168289440 in words is "forty-eight billion, one hundred sixty-eight million, two hundred eighty-nine thousand, four hundred forty".