4132128000 has 1152 divisors, whose sum is σ = 18856341504. Its totient is φ = 774144000.

The previous prime is 4132127963. The next prime is 4132128019. The reversal of 4132128000 is 8212314.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96095979 + ... + 96096021.

It is an arithmetic number, because the mean of its divisors is an integer number (16368352).

Almost surely, 2^4132128000 is an apocalyptic number.

4132128000 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 4132128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9428170752).

4132128000 is an abundant number, since it is smaller than the sum of its proper divisors (14724213504).

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

4132128000 is a wasteful number, since it uses less digits than its factorization.

4132128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4132128000 is about 64281.6303464683. The cubic root of 4132128000 is about 1604.6904033037.

The spelling of 4132128000 in words is "four billion, one hundred thirty-two million, one hundred twenty-eight thousand".