4057123200 has 768 divisors, whose sum is σ = 15936480000. Its totient is φ = 898007040.

The previous prime is 4057123183. The next prime is 4057123201. The reversal of 4057123200 is 23217504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057123201) 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, 68764771 + ... + 68764829.

It is an arithmetic number, because the mean of its divisors is an integer number (20750625).

Almost surely, 2^4057123200 is an apocalyptic number.

4057123200 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 4057123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968240000).

4057123200 is an abundant number, since it is smaller than the sum of its proper divisors (11879356800).

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

4057123200 is a wasteful number, since it uses less digits than its factorization.

4057123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4057123200 is about 63695.5508650330. The cubic root of 4057123200 is about 1594.9218162493.

The spelling of 4057123200 in words is "four billion, fifty-seven million, one hundred twenty-three thousand, two hundred".