444033401040342 has 48 divisors (see below), whose sum is σ = 998019555156000. Its totient is φ = 142509230946432.

The previous prime is 444033401040331. The next prime is 444033401040407. The reversal of 444033401040342 is 243040104330444.

444033401040342 is a `hidden beast` number, since 4 + 440 + 33 + 40 + 104 + 0 + 3 + 42 = 666.

It is a super-3 number, since 3×444033401040342³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 444033401040297 and 444033401040306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1184546167 + ... + 1184920962.

It is an arithmetic number, because the mean of its divisors is an integer number (20792074065750).

Almost surely, 2^{444033401040342} is an apocalyptic number.

444033401040342 is an abundant number, since it is smaller than the sum of its proper divisors (553986154115658).

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

444033401040342 is a wasteful number, since it uses less digits than its factorization.

444033401040342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369467525 (or 2369467522 counting only the distinct ones).

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

Adding to 444033401040342 its reverse (243040104330444), we get a palindrome (687073505370786).

The spelling of 444033401040342 in words is "four hundred forty-four trillion, thirty-three billion, four hundred one million, forty thousand, three hundred forty-two".