4400121440 has 144 divisors (see below), whose sum is σ = 12305868624. Its totient is φ = 1476879360.

The previous prime is 4400121409. The next prime is 4400121443. The reversal of 4400121440 is 441210044.

It is a happy number.

It is a super-2 number, since 2×4400121440² = 38722137373495347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400121443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242939 + ... + 260421.

It is an arithmetic number, because the mean of its divisors is an integer number (85457421).

Almost surely, 2^4400121440 is an apocalyptic number.

4400121440 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 4400121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152934312).

4400121440 is an abundant number, since it is smaller than the sum of its proper divisors (7905747184).

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

4400121440 is a wasteful number, since it uses less digits than its factorization.

4400121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17533 (or 17514 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4400121440 is about 66333.4111892340. The cubic root of 4400121440 is about 1638.6576165740.

Adding to 4400121440 its reverse (441210044), we get a palindrome (4841331484).

The spelling of 4400121440 in words is "four billion, four hundred million, one hundred twenty-one thousand, four hundred forty".