4073028960 has 768 divisors, whose sum is σ = 17679513600. Its totient is φ = 776724480.

The previous prime is 4073028809. The next prime is 4073028979. The reversal of 4073028960 is 698203704.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2422 × 2310 × 728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23543434 + ... + 23543606.

It is an arithmetic number, because the mean of its divisors is an integer number (23020200).

Almost surely, 2^4073028960 is an apocalyptic number.

4073028960 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 4073028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8839756800).

4073028960 is an abundant number, since it is smaller than the sum of its proper divisors (13606484640).

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

4073028960 is a wasteful number, since it uses less digits than its factorization.

4073028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4073028960 is about 63820.2864299433. The cubic root of 4073028960 is about 1597.0033703020.

The spelling of 4073028960 in words is "four billion, seventy-three million, twenty-eight thousand, nine hundred sixty".