4057400160 has 576 divisors, whose sum is σ = 16048730880. Its totient is φ = 959662080.

The previous prime is 4057400159. The next prime is 4057400167. The reversal of 4057400160 is 610047504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057400167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22666951 + ... + 22667129.

It is an arithmetic number, because the mean of its divisors is an integer number (27862380).

Almost surely, 2^4057400160 is an apocalyptic number.

4057400160 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 4057400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024365440).

4057400160 is an abundant number, since it is smaller than the sum of its proper divisors (11991330720).

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

4057400160 is a wasteful number, since it uses less digits than its factorization.

4057400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4057400160 is about 63697.7249201257. The cubic root of 4057400160 is about 1594.9581079330.

Adding to 4057400160 its reverse (610047504), we get a palindrome (4667447664).

The spelling of 4057400160 in words is "four billion, fifty-seven million, four hundred thousand, one hundred sixty".