4257124358400 has 243 divisors, whose sum is σ = 15221951002531. Its totient is φ = 1135101112320.

The previous prime is 4257124358381. The next prime is 4257124358411. The reversal of 4257124358400 is 48534217524.

The square root of 4257124358400 is 2063280.

It is a perfect power (a square), and thus also a powerful number.

4257124358400 is a `hidden beast` number, since 4 + 2 + 57 + 12 + 4 + 3 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23933327616 + 4233191030784 = 154704^2 + 2057472^2 .

It is a super-2 number, since 2×4257124358400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 495182902 + ... + 495191498.

Almost surely, 2^{4257124358400} is an apocalyptic number.

4257124358400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4257124358400 is the 2063280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4257124358400

4257124358400 is an abundant number, since it is smaller than the sum of its proper divisors (10964826644131).

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

4257124358400 is an frugal number, since it uses more digits than its factorization.

4257124358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17226 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 4257124358400 in words is "four trillion, two hundred fifty-seven billion, one hundred twenty-four million, three hundred fifty-eight thousand, four hundred".