4930457380128 has 288 divisors, whose sum is σ = 16144932690432. Its totient is φ = 1398104064000.

The previous prime is 4930457380099. The next prime is 4930457380159. The reversal of 4930457380128 is 8210837540394.

It is a happy number.

4930457380128 is a `hidden beast` number, since 4 + 9 + 30 + 457 + 38 + 0 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4930457380128² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167682228 + ... + 167711628.

It is an arithmetic number, because the mean of its divisors is an integer number (56058794064).

Almost surely, 2^{4930457380128} is an apocalyptic number.

4930457380128 is a gapful number since it is divisible by the number (48) 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 4930457380128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072466345216).

4930457380128 is an abundant number, since it is smaller than the sum of its proper divisors (11214475310304).

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

4930457380128 is a wasteful number, since it uses less digits than its factorization.

4930457380128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30048 (or 30037 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4930457380128 in words is "four trillion, nine hundred thirty billion, four hundred fifty-seven million, three hundred eighty thousand, one hundred twenty-eight".