4444344131400 has 384 divisors, whose sum is σ = 15402527568000. Its totient is φ = 1177875578880.

The previous prime is 4444344131387. The next prime is 4444344131411. The reversal of 4444344131400 is 41314434444.

4444344131400 is a `hidden beast` number, since 4 + 4 + 443 + 44 + 131 + 40 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2087525536 + ... + 2087527664.

It is an arithmetic number, because the mean of its divisors is an integer number (40110748875).

Almost surely, 2^{4444344131400} is an apocalyptic number.

4444344131400 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 4444344131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701263784000).

4444344131400 is an abundant number, since it is smaller than the sum of its proper divisors (10958183436600).

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

4444344131400 is a wasteful number, since it uses less digits than its factorization.

4444344131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4350 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4444344131400 its reverse (41314434444), we get a palindrome (4485658565844).

The spelling of 4444344131400 in words is "four trillion, four hundred forty-four billion, three hundred forty-four million, one hundred thirty-one thousand, four hundred".