48262123440 has 240 divisors, whose sum is σ = 171960422400. Its totient is φ = 12096096768.

The previous prime is 48262123387. The next prime is 48262123453. The reversal of 48262123440 is 4432126284.

48262123440 is a `hidden beast` number, since 4 + 8 + 2 + 621 + 23 + 4 + 4 + 0 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 48262123395 and 48262123404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1723471 + ... + 1751249.

It is an arithmetic number, because the mean of its divisors is an integer number (716501760).

Almost surely, 2^48262123440 is an apocalyptic number.

48262123440 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 48262123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85980211200).

48262123440 is an abundant number, since it is smaller than the sum of its proper divisors (123698298960).

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

48262123440 is a wasteful number, since it uses less digits than its factorization.

48262123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27944 (or 27935 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 48262123440 in words is "forty-eight billion, two hundred sixty-two million, one hundred twenty-three thousand, four hundred forty".