444024030431340 has 192 divisors, whose sum is σ = 1424608020864000. Its totient is φ = 114760089400320.

The previous prime is 444024030431257. The next prime is 444024030431389. The reversal of 444024030431340 is 43134030420444.

444024030431340 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 2 + 4 + 0 + 304 + 3 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444024030431295 and 444024030431304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95883885 + ... + 100408004.

It is an arithmetic number, because the mean of its divisors is an integer number (7419833442000).

Almost surely, 2^{444024030431340} is an apocalyptic number.

It is an amenable number.

444024030431340 is an abundant number, since it is smaller than the sum of its proper divisors (980583990432660).

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

444024030431340 is a wasteful number, since it uses less digits than its factorization.

444024030431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196292037 (or 196292029 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 444024030431340 its reverse (43134030420444), we get a palindrome (487158060851784).

The spelling of 444024030431340 in words is "four hundred forty-four trillion, twenty-four billion, thirty million, four hundred thirty-one thousand, three hundred forty".