48324003840 has 1440 divisors, whose sum is σ = 213518705400. Its totient is φ = 10404495360.

The previous prime is 48324003817. The next prime is 48324003851. The reversal of 48324003840 is 4830042384.

It can be written as a sum of positive squares in 4 ways, for example, as 26665583616 + 21658420224 = 163296^2 + 147168^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 48324003795 and 48324003804.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1178634220 + ... + 1178634260.

Almost surely, 2^48324003840 is an apocalyptic number.

48324003840 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 48324003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106759352700).

48324003840 is an abundant number, since it is smaller than the sum of its proper divisors (165194701560).

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

48324003840 is a wasteful number, since it uses less digits than its factorization.

48324003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

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

The spelling of 48324003840 in words is "forty-eight billion, three hundred twenty-four million, three thousand, eight hundred forty".