4240614400 has 297 divisors, whose sum is σ = 11874771867. Its totient is φ = 1500364800.

The previous prime is 4240614361. The next prime is 4240614449. The reversal of 4240614400 is 44160424.

The square root of 4240614400 is 65120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 3838050304 = 20064^2 + 61952^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 114611182 + ... + 114611218.

Almost surely, 2^4240614400 is an apocalyptic number.

4240614400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4240614400 is the 65120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240614400

4240614400 is an abundant number, since it is smaller than the sum of its proper divisors (7634157467).

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

4240614400 is a wasteful number, since it uses less digits than its factorization.

4240614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The cubic root of 4240614400 is about 1618.6126414060.

Multiplying 4240614400 by its sum of digits (25), we get a square (106015360000 = 325600²).

4240614400 divided by its sum of digits (25) gives a square (169624576 = 13024²).

Adding to 4240614400 its reverse (44160424), we get a palindrome (4284774824).

The spelling of 4240614400 in words is "four billion, two hundred forty million, six hundred fourteen thousand, four hundred".