4057018253100 has 540 divisors, whose sum is σ = 13752114042744. Its totient is φ = 1034032366080.

The previous prime is 4057018253059. The next prime is 4057018253107. The reversal of 4057018253100 is 13528107504.

4057018253100 is a `hidden beast` number, since 4 + 0 + 570 + 1 + 82 + 5 + 3 + 1 + 0 + 0 = 666.

4057018253100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×4057018253100² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4057018253107) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 769392064 + ... + 769397336.

Almost surely, 2^{4057018253100} 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 4057018253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876057021372).

4057018253100 is an abundant number, since it is smaller than the sum of its proper divisors (9695095789644).

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

4057018253100 is a wasteful number, since it uses less digits than its factorization.

4057018253100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 4057018253100 in words is "four trillion, fifty-seven billion, eighteen million, two hundred fifty-three thousand, one hundred".