4057277120 has 224 divisors, whose sum is σ = 11143536768. Its totient is φ = 1393754112.

The previous prime is 4057277101. The next prime is 4057277129. The reversal of 4057277120 is 217727504.

It is a super-2 number, since 2×4057277120² = 32922995256950988800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4057277129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7283882 + ... + 7284438.

It is an arithmetic number, because the mean of its divisors is an integer number (49747932).

Almost surely, 2^4057277120 is an apocalyptic number.

4057277120 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 4057277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571768384).

4057277120 is an abundant number, since it is smaller than the sum of its proper divisors (7086259648).

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

4057277120 is a wasteful number, since it uses less digits than its factorization.

4057277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 35.

The square root of 4057277120 is about 63696.7591012290. The cubic root of 4057277120 is about 1594.9419854883.

The spelling of 4057277120 in words is "four billion, fifty-seven million, two hundred seventy-seven thousand, one hundred twenty".