4057391848440 has 512 divisors, whose sum is σ = 14124845629440. Its totient is φ = 913312972800.

The previous prime is 4057391848423. The next prime is 4057391848441. The reversal of 4057391848440 is 448481937504.

It is a super-2 number, since 2×4057391848440² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057391848441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13046275885 + ... + 13046276195.

It is an arithmetic number, because the mean of its divisors is an integer number (27587589120).

Almost surely, 2^{4057391848440} is an apocalyptic number.

4057391848440 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 4057391848440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062422814720).

4057391848440 is an abundant number, since it is smaller than the sum of its proper divisors (10067453781000).

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

4057391848440 is a wasteful number, since it uses less digits than its factorization.

4057391848440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 4057391848440 in words is "four trillion, fifty-seven billion, three hundred ninety-one million, eight hundred forty-eight thousand, four hundred forty".