4149520128 has 432 divisors, whose sum is σ = 13749415680. Its totient is φ = 1194393600.

The previous prime is 4149520127. The next prime is 4149520139. The reversal of 4149520128 is 8210259414.

4149520128 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 520 + 128 = 666.

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 = 4149520092 and 4149520101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149520127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38068938 + ... + 38069046.

Almost surely, 2^4149520128 is an apocalyptic number.

4149520128 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 4149520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874707840).

4149520128 is an abundant number, since it is smaller than the sum of its proper divisors (9599895552).

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

4149520128 is a wasteful number, since it uses less digits than its factorization.

4149520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4149520128 is about 64416.7689969002. The cubic root of 4149520128 is about 1606.9386327790.

The spelling of 4149520128 in words is "four billion, one hundred forty-nine million, five hundred twenty thousand, one hundred twenty-eight".