4552401440 has 96 divisors (see below), whose sum is σ = 11780581680. Its totient is φ = 1654718464.

The previous prime is 4552401419. The next prime is 4552401467. The reversal of 4552401440 is 441042554.

It can be written as a sum of positive squares in 8 ways, for example, as 2239560976 + 2312840464 = 47324^2 + 48092^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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 15 ways as a sum of consecutive naturals, for example, 50024 + ... + 107736.

Almost surely, 2^4552401440 is an apocalyptic number.

4552401440 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 4552401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890290840).

4552401440 is an abundant number, since it is smaller than the sum of its proper divisors (7228180240).

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

4552401440 is a wasteful number, since it uses less digits than its factorization.

4552401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57774 (or 57766 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 4552401440 is about 67471.4861256220. The cubic root of 4552401440 is about 1657.3472703505.

Adding to 4552401440 its reverse (441042554), we get a palindrome (4993443994).

The spelling of 4552401440 in words is "four billion, five hundred fifty-two million, four hundred one thousand, four hundred forty".