48312021240 has 512 divisors, whose sum is σ = 194918400000. Its totient is φ = 10397569536.

The previous prime is 48312021227. The next prime is 48312021293. The reversal of 48312021240 is 4212021384.

48312021240 is a `hidden beast` number, since 483 + 120 + 21 + 2 + 40 = 666.

It is a super-2 number, since 2×48312021240² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25710621 + ... + 25712499.

It is an arithmetic number, because the mean of its divisors is an integer number (380700000).

Almost surely, 2^48312021240 is an apocalyptic number.

48312021240 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 48312021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97459200000).

48312021240 is an abundant number, since it is smaller than the sum of its proper divisors (146606378760).

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

48312021240 is a wasteful number, since it uses less digits than its factorization.

48312021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 48312021240 in words is "forty-eight billion, three hundred twelve million, twenty-one thousand, two hundred forty".