48193585440 has 1536 divisors, whose sum is σ = 219469824000. Its totient is φ = 8742666240.

The previous prime is 48193585409. The next prime is 48193585471. The reversal of 48193585440 is 4458539184.

It is an interprime number because it is at equal distance from previous prime (48193585409) and next prime (48193585471).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 541500916 + ... + 541501004.

It is an arithmetic number, because the mean of its divisors is an integer number (142884000).

Almost surely, 2^48193585440 is an apocalyptic number.

48193585440 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 48193585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734912000).

48193585440 is an abundant number, since it is smaller than the sum of its proper divisors (171276238560).

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

48193585440 is a wasteful number, since it uses less digits than its factorization.

48193585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

It can be divided in two parts, 481935 and 85440, that multiplied together give a square (41176526400 = 202920²).

The spelling of 48193585440 in words is "forty-eight billion, one hundred ninety-three million, five hundred eighty-five thousand, four hundred forty".