444654541400 has 96 divisors (see below), whose sum is σ = 1090750760400. Its totient is φ = 168110899200.

The previous prime is 444654541361. The next prime is 444654541403. The reversal of 444654541400 is 4145456444.

It is a super-2 number, since 2×444654541400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444654541403) 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, 1510280 + ... + 1780520.

Almost surely, 2^444654541400 is an apocalyptic number.

444654541400 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 444654541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545375380200).

444654541400 is an abundant number, since it is smaller than the sum of its proper divisors (646096219000).

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

444654541400 is a wasteful number, since it uses less digits than its factorization.

444654541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270709 (or 270700 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 41.

Adding to 444654541400 its reverse (4145456444), we get a palindrome (448799997844).

The spelling of 444654541400 in words is "four hundred forty-four billion, six hundred fifty-four million, five hundred forty-one thousand, four hundred".