4073362128 has 160 divisors (see below), whose sum is σ = 12887925120. Its totient is φ = 1221488640.

The previous prime is 4073362121. The next prime is 4073362157. The reversal of 4073362128 is 8212633704.

It is a happy number.

4073362128 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 3 + 621 + 28 = 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 = 4073362092 and 4073362101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073362121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456526 + ... + 465362.

It is an arithmetic number, because the mean of its divisors is an integer number (80549532).

Almost surely, 2^4073362128 is an apocalyptic number.

4073362128 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 4073362128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443962560).

4073362128 is an abundant number, since it is smaller than the sum of its proper divisors (8814562992).

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

4073362128 is a wasteful number, since it uses less digits than its factorization.

4073362128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4073362128 is about 63822.8965810860. The cubic root of 4073362128 is about 1597.0469133193.

The spelling of 4073362128 in words is "four billion, seventy-three million, three hundred sixty-two thousand, one hundred twenty-eight".