4056369840 has 480 divisors, whose sum is σ = 14975041536. Its totient is φ = 1018967040.

The previous prime is 4056369803. The next prime is 4056369841. The reversal of 4056369840 is 489636504.

4056369840 is a `hidden beast` number, since 4 + 0 + 5 + 636 + 9 + 8 + 4 + 0 = 666.

4056369840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4056369841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31939857 + ... + 31939983.

Almost surely, 2^4056369840 is an apocalyptic number.

4056369840 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 4056369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487520768).

4056369840 is an abundant number, since it is smaller than the sum of its proper divisors (10918671696).

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

4056369840 is a wasteful number, since it uses less digits than its factorization.

4056369840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4056369840 is about 63689.6368336325. The cubic root of 4056369840 is about 1594.8230907387.

The spelling of 4056369840 in words is "four billion, fifty-six million, three hundred sixty-nine thousand, eight hundred forty".