4400132520 has 256 divisors, whose sum is σ = 15541862400. Its totient is φ = 975836160.

The previous prime is 4400132489. The next prime is 4400132543. The reversal of 4400132520 is 252310044.

It is a super-2 number, since 2×4400132520² = 38722332387123100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4047417 + ... + 4048503.

It is an arithmetic number, because the mean of its divisors is an integer number (60710400).

Almost surely, 2^4400132520 is an apocalyptic number.

4400132520 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 4400132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770931200).

4400132520 is an abundant number, since it is smaller than the sum of its proper divisors (11141729880).

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

4400132520 is a wasteful number, since it uses less digits than its factorization.

4400132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4400132520 is about 66333.4947066714. The cubic root of 4400132520 is about 1638.6589920141.

Adding to 4400132520 its reverse (252310044), we get a palindrome (4652442564).

The spelling of 4400132520 in words is "four billion, four hundred million, one hundred thirty-two thousand, five hundred twenty".