48141440 has 128 divisors (see below), whose sum is σ = 125582400. Its totient is φ = 17584128.

The previous prime is 48141397. The next prime is 48141449. The reversal of 48141440 is 4414184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (48141449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449867 + ... + 449973.

Almost surely, 2^48141440 is an apocalyptic number.

48141440 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 48141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791200).

48141440 is an abundant number, since it is smaller than the sum of its proper divisors (77440960).

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

48141440 is a wasteful number, since it uses less digits than its factorization.

48141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 48141440 is about 6938.4032745294. The cubic root of 48141440 is about 363.7807317674.

The spelling of 48141440 in words is "forty-eight million, one hundred forty-one thousand, four hundred forty".