4540211424 has 576 divisors, whose sum is σ = 16511040000. Its totient is φ = 1178634240.

The previous prime is 4540211413. The next prime is 4540211537. The reversal of 4540211424 is 4241120454.

4540211424 is a `hidden beast` number, since 4 + 540 + 2 + 114 + 2 + 4 = 666.

It is a super-2 number, since 2×4540211424² = 41227039549240215552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76952707 + ... + 76952765.

It is an arithmetic number, because the mean of its divisors is an integer number (28665000).

Almost surely, 2^4540211424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4540211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520000).

4540211424 is an abundant number, since it is smaller than the sum of its proper divisors (11970828576).

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

4540211424 is a wasteful number, since it uses less digits than its factorization.

4540211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4540211424 is about 67381.0909974007. The cubic root of 4540211424 is about 1655.8666489274.

Adding to 4540211424 its reverse (4241120454), we get a palindrome (8781331878).

The spelling of 4540211424 in words is "four billion, five hundred forty million, two hundred eleven thousand, four hundred twenty-four".