5629438440 has 160 divisors (see below), whose sum is σ = 19004923080. Its totient is φ = 1494540288.

The previous prime is 5629438417. The next prime is 5629438447. The reversal of 5629438440 is 448349265.

5629438440 is a `hidden beast` number, since 562 + 9 + 4 + 3 + 84 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3155967684 + 2473470756 = 56178^2 + 49734^2 .

It is a super-4 number, since 4×5629438440⁴ (a number of 40 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5629438447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 751192 + ... + 758648.

Almost surely, 2^5629438440 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 5629438440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9502461540).

5629438440 is an abundant number, since it is smaller than the sum of its proper divisors (13375484640).

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

5629438440 is a wasteful number, since it uses less digits than its factorization.

5629438440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7713 (or 7700 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5629438440 is about 75029.5837653389. The cubic root of 5629438440 is about 1778.9142939353.

The spelling of 5629438440 in words is "five billion, six hundred twenty-nine million, four hundred thirty-eight thousand, four hundred forty".