4056997140 has 288 divisors, whose sum is σ = 14980492800. Its totient is φ = 886685184.

The previous prime is 4056997121. The next prime is 4056997141. The reversal of 4056997140 is 417996504.

4056997140 is a `hidden beast` number, since 40 + 569 + 9 + 7 + 1 + 40 = 666.

4056997140 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056997141) 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, 1418592 + ... + 1421448.

It is an arithmetic number, because the mean of its divisors is an integer number (52015600).

Almost surely, 2^4056997140 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 4056997140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490246400).

4056997140 is an abundant number, since it is smaller than the sum of its proper divisors (10923495660).

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

4056997140 is a wasteful number, since it uses less digits than its factorization.

4056997140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 4056997140 is about 63694.5613062842. The cubic root of 4056997140 is about 1594.9052973256.

The spelling of 4056997140 in words is "four billion, fifty-six million, nine hundred ninety-seven thousand, one hundred forty".