4400337125376 has 560 divisors, whose sum is σ = 13684344151500. Its totient is φ = 1412633198592.

The previous prime is 4400337125323. The next prime is 4400337125377. The reversal of 4400337125376 is 6735217330044.

4400337125376 is a `hidden beast` number, since 4 + 40 + 0 + 3 + 3 + 71 + 2 + 537 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4357338955776 + 42998169600 = 2087424^2 + 207360^2 .

It is not an unprimeable number, because it can be changed into a prime (4400337125377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11083972410 + ... + 11083972806.

Almost surely, 2^{4400337125376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400337125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842172075750).

4400337125376 is an abundant number, since it is smaller than the sum of its proper divisors (9284007026124).

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

4400337125376 is an frugal number, since it uses more digits than its factorization.

4400337125376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 4400337125376 in words is "four trillion, four hundred billion, three hundred thirty-seven million, one hundred twenty-five thousand, three hundred seventy-six".