444333111014340 has 60 divisors (see below), whose sum is σ = 1393889426038956. Its totient is φ = 118488829603392.

The previous prime is 444333111014231. The next prime is 444333111014347. The reversal of 444333111014340 is 43410111333444.

444333111014340 is a `hidden beast` number, since 4 + 4 + 433 + 31 + 1 + 10 + 143 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120732803671104 + 323600307343236 = 10987848^2 + 17988894^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 444333111014295 and 444333111014304.

It is not an unprimeable number, because it can be changed into a prime (444333111014347) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137139847459 + ... + 137139850698.

Almost surely, 2^{444333111014340} is an apocalyptic number.

It is an amenable number.

444333111014340 is an abundant number, since it is smaller than the sum of its proper divisors (949556315024616).

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

444333111014340 is a wasteful number, since it uses less digits than its factorization.

444333111014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274279698178 (or 274279698167 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 444333111014340 its reverse (43410111333444), we get a palindrome (487743222347784).

The spelling of 444333111014340 in words is "four hundred forty-four trillion, three hundred thirty-three billion, one hundred eleven million, fourteen thousand, three hundred forty".