4072755456 has 324 divisors, whose sum is σ = 14758301376. Its totient is φ = 1057351680.

The previous prime is 4072755451. The next prime is 4072755473. The reversal of 4072755456 is 6545572704.

4072755456 is a `hidden beast` number, since 40 + 7 + 2 + 7 + 554 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (4072755451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1950445 + ... + 1952531.

Almost surely, 2^4072755456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7379150688).

4072755456 is an abundant number, since it is smaller than the sum of its proper divisors (10685545920).

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

4072755456 is a wasteful number, since it uses less digits than its factorization.

4072755456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The square root of 4072755456 is about 63818.1436270282. The cubic root of 4072755456 is about 1596.9676232293.

It can be divided in two parts, 4072 and 755456, that added together give a triangular number (759528 = T₁₂₃₂).

The spelling of 4072755456 in words is "four billion, seventy-two million, seven hundred fifty-five thousand, four hundred fifty-six".