4096128000 has 176 divisors, whose sum is σ = 13626535104. Its totient is φ = 1092198400.

The previous prime is 4096127993. The next prime is 4096128061. The reversal of 4096128000 is 8216904.

It is a Cunningham number, because it is equal to 64001²-1.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 378667 + ... + 389333.

Almost surely, 2^4096128000 is an apocalyptic number.

4096128000 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 4096128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813267552).

4096128000 is an abundant number, since it is smaller than the sum of its proper divisors (9530407104).

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

4096128000 is a wasteful number, since it uses less digits than its factorization.

4096128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4096128000 is about 64000.9999921876. Note that the first 5 decimals coincide. The cubic root of 4096128000 is about 1600.0166664931.

The spelling of 4096128000 in words is "four billion, ninety-six million, one hundred twenty-eight thousand".