4056073728 has 320 divisors, whose sum is σ = 13090209792. Its totient is φ = 1091543040.

The previous prime is 4056073711. The next prime is 4056073733. The reversal of 4056073728 is 8273706504.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4056073728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14332275 + ... + 14332557.

Almost surely, 2^4056073728 is an apocalyptic number.

4056073728 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 4056073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6545104896).

4056073728 is an abundant number, since it is smaller than the sum of its proper divisors (9034136064).

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

4056073728 is a wasteful number, since it uses less digits than its factorization.

4056073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 4056073728 is about 63687.3121430007. The cubic root of 4056073728 is about 1594.7842828255.

The spelling of 4056073728 in words is "four billion, fifty-six million, seventy-three thousand, seven hundred twenty-eight".