4484444400400 has 60 divisors (see below), whose sum is σ = 10775325794212. Its totient is φ = 1793536657920.

The previous prime is 4484444400281. The next prime is 4484444400427. The reversal of 4484444400400 is 40044444844.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11879256064 + 4472565144336 = 108992^2 + 2114844^2 .

It is a super-2 number, since 2×4484444400400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2241094 + ... + 3740506.

Almost surely, 2^{4484444400400} is an apocalyptic number.

4484444400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4484444400400 is an abundant number, since it is smaller than the sum of its proper divisors (6290881393812).

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

4484444400400 is a wasteful number, since it uses less digits than its factorization.

4484444400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506908 (or 1506897 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 40.

The spelling of 4484444400400 in words is "four trillion, four hundred eighty-four billion, four hundred forty-four million, four hundred thousand, four hundred".