444211022400040 has 64 divisors (see below), whose sum is σ = 1158345040354560. Its totient is φ = 150155838551040.

The previous prime is 444211022400011. The next prime is 444211022400053. The reversal of 444211022400040 is 40004220112444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 444211022399981 and 444211022400008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11172289537 + ... + 11172329296.

It is an arithmetic number, because the mean of its divisors is an integer number (18099141255540).

Almost surely, 2^{444211022400040} is an apocalyptic number.

444211022400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444211022400040 is an abundant number, since it is smaller than the sum of its proper divisors (714134017954520).

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

444211022400040 is a wasteful number, since it uses less digits than its factorization.

444211022400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22344618922 (or 22344618918 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 444211022400040 its reverse (40004220112444), we get a palindrome (484215242512484).

The spelling of 444211022400040 in words is "four hundred forty-four trillion, two hundred eleven billion, twenty-two million, four hundred thousand, forty".