4400400440448 has 48 divisors (see below), whose sum is σ = 12662610645750. Its totient is φ = 1466800146432.

The previous prime is 4400400440437. The next prime is 4400400440453. The reversal of 4400400440448 is 8440440040044.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2253097065024 + 2147303375424 = 1501032^2 + 1465368^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1909894873 + ... + 1909897176.

Almost surely, 2^{4400400440448} is an apocalyptic number.

4400400440448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4400400440448 is an abundant number, since it is smaller than the sum of its proper divisors (8262210205302).

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

4400400440448 is a wasteful number, since it uses less digits than its factorization.

4400400440448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819792069 (or 3819792054 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 4400400440448 in words is "four trillion, four hundred billion, four hundred million, four hundred forty thousand, four hundred forty-eight".