4056240384 has 648 divisors, whose sum is σ = 15024871680. Its totient is φ = 1045094400.

The previous prime is 4056240343. The next prime is 4056240449. The reversal of 4056240384 is 4830426504.

4056240384 is a `hidden beast` number, since 405 + 6 + 240 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66495714 + ... + 66495774.

Almost surely, 2^4056240384 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 4056240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512435840).

4056240384 is an abundant number, since it is smaller than the sum of its proper divisors (10968631296).

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

4056240384 is a wasteful number, since it uses less digits than its factorization.

4056240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4056240384 is about 63688.6205220367. The cubic root of 4056240384 is about 1594.8061246975.

Adding to 4056240384 its reverse (4830426504), we get a palindrome (8886666888).

The spelling of 4056240384 in words is "four billion, fifty-six million, two hundred forty thousand, three hundred eighty-four".