4531213440 has 512 divisors, whose sum is σ = 18054489600. Its totient is φ = 1065664512.

The previous prime is 4531213409. The next prime is 4531213469. The reversal of 4531213440 is 443121354.

It is a happy number.

4531213440 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 213 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5166282 + ... + 5167158.

It is an arithmetic number, because the mean of its divisors is an integer number (35262675).

Almost surely, 2^4531213440 is an apocalyptic number.

4531213440 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 4531213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9027244800).

4531213440 is an abundant number, since it is smaller than the sum of its proper divisors (13523276160).

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

4531213440 is a wasteful number, since it uses less digits than its factorization.

4531213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4531213440 is about 67314.2885277710. The cubic root of 4531213440 is about 1654.7720365208.

Adding to 4531213440 its reverse (443121354), we get a palindrome (4974334794).

The spelling of 4531213440 in words is "four billion, five hundred thirty-one million, two hundred thirteen thousand, four hundred forty".