48311303040 has 2560 divisors, whose sum is σ = 248814720000. Its totient is φ = 8778792960.

The previous prime is 48311303039. The next prime is 48311303057. The reversal of 48311303040 is 4030311384.

48311303040 is a `hidden beast` number, since 4 + 8 + 311 + 303 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48311302995 and 48311303013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2542700151 + ... + 2542700169.

It is an arithmetic number, because the mean of its divisors is an integer number (97193250).

Almost surely, 2^48311303040 is an apocalyptic number.

48311303040 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 48311303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124407360000).

48311303040 is an abundant number, since it is smaller than the sum of its proper divisors (200503416960).

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

48311303040 is a wasteful number, since it uses less digits than its factorization.

48311303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 48311303040 in words is "forty-eight billion, three hundred eleven million, three hundred three thousand, forty".