4057227504 has 120 divisors (see below), whose sum is σ = 12675117312. Its totient is φ = 1200850560.

The previous prime is 4057227487. The next prime is 4057227509.

It is a happy number.

4057227504 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4057227504² = 32922190038428140032, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057227509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38329 + ... + 97895.

Almost surely, 2^4057227504 is an apocalyptic number.

4057227504 is a gapful number since it is divisible by the number (44) 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 4057227504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337558656).

4057227504 is an abundant number, since it is smaller than the sum of its proper divisors (8617889808).

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

4057227504 is a wasteful number, since it uses less digits than its factorization.

4057227504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59635 (or 59626 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4057227504 is about 63696.3696296736. The cubic root of 4057227504 is about 1594.9354840045.

The spelling of 4057227504 in words is "four billion, fifty-seven million, two hundred twenty-seven thousand, five hundred four".