4057834500720 has 3840 divisors, whose sum is σ = 20299500748800. Its totient is φ = 704542924800.

The previous prime is 4057834500703. The next prime is 4057834500763. The reversal of 4057834500720 is 270054387504.

4057834500720 is a `hidden beast` number, since 4 + 0 + 5 + 78 + 3 + 4 + 500 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 51364993641 + ... + 51364993719.

It is an arithmetic number, because the mean of its divisors is an integer number (5286328320).

Almost surely, 2^{4057834500720} is an apocalyptic number.

4057834500720 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 4057834500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10149750374400).

4057834500720 is an abundant number, since it is smaller than the sum of its proper divisors (16241666248080).

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

4057834500720 is a wasteful number, since it uses less digits than its factorization.

4057834500720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

It can be divided in two parts, 4057834 and 500720, that added together give a palindrome (4558554).

The spelling of 4057834500720 in words is "four trillion, fifty-seven billion, eight hundred thirty-four million, five hundred thousand, seven hundred twenty".