4400145600 has 168 divisors, whose sum is σ = 14473293888. Its totient is φ = 1170355200.

The previous prime is 4400145557. The next prime is 4400145613. The reversal of 4400145600 is 65410044.

It is a super-2 number, since 2×4400145600² = 38722562602398720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 2355867 + ... + 2357733.

Almost surely, 2^4400145600 is an apocalyptic number.

4400145600 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 4400145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236646944).

4400145600 is an abundant number, since it is smaller than the sum of its proper divisors (10073148288).

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

4400145600 is a wasteful number, since it uses less digits than its factorization.

4400145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4400145600 is about 66333.5932993231. The cubic root of 4400145600 is about 1638.6606157257.

Adding to 4400145600 its reverse (65410044), we get a palindrome (4465555644).

The spelling of 4400145600 in words is "four billion, four hundred million, one hundred forty-five thousand, six hundred".