48382424133120 has 3840 divisors, whose sum is σ = 225262203724800. Its totient is φ = 9728946339840.

The previous prime is 48382424133107. The next prime is 48382424133139. The reversal of 48382424133120 is 2133142428384.

48382424133120 is a `hidden beast` number, since 4 + 8 + 3 + 82 + 424 + 133 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×48382424133120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 211276961166 + ... + 211276961394.

It is an arithmetic number, because the mean of its divisors is an integer number (58662032220).

Almost surely, 2^{48382424133120} is an apocalyptic number.

48382424133120 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 48382424133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112631101862400).

48382424133120 is an abundant number, since it is smaller than the sum of its proper divisors (176879779591680).

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

48382424133120 is a wasteful number, since it uses less digits than its factorization.

48382424133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 48382424133120 in words is "forty-eight trillion, three hundred eighty-two billion, four hundred twenty-four million, one hundred thirty-three thousand, one hundred twenty".