4057020000 has 480 divisors, whose sum is σ = 16154328960. Its totient is φ = 982080000.

The previous prime is 4057019971. The next prime is 4057020007. The reversal of 4057020000 is 207504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4057020000² = 32918822560800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057020007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5939659 + ... + 5940341.

It is an arithmetic number, because the mean of its divisors is an integer number (33654852).

Almost surely, 2^4057020000 is an apocalyptic number.

4057020000 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 4057020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8077164480).

4057020000 is an abundant number, since it is smaller than the sum of its proper divisors (12097308960).

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

4057020000 is a wasteful number, since it uses less digits than its factorization.

4057020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 4057020000 is about 63694.7407562037. The cubic root of 4057020000 is about 1594.9082929293.

Adding to 4057020000 its reverse (207504), we get a palindrome (4057227504).

The spelling of 4057020000 in words is "four billion, fifty-seven million, twenty thousand".