4057251840 has 180 divisors, whose sum is σ = 14067266304. Its totient is φ = 1081737216.

The previous prime is 4057251833. The next prime is 4057251871. The reversal of 4057251840 is 481527504.

4057251840 is a `hidden beast` number, since 4 + 0 + 572 + 5 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×4057251840² = 32922584986366771200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4057251795 and 4057251804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734529 + ... + 740031.

Almost surely, 2^4057251840 is an apocalyptic number.

4057251840 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 4057251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033633152).

4057251840 is an abundant number, since it is smaller than the sum of its proper divisors (10010014464).

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

4057251840 is an equidigital number, since it uses as much as digits as its factorization.

4057251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4057251840 is about 63696.5606606825. The cubic root of 4057251840 is about 1594.9386729040.

The spelling of 4057251840 in words is "four billion, fifty-seven million, two hundred fifty-one thousand, eight hundred forty".