444122667037440 has 216 divisors, whose sum is σ = 1546045277016240. Its totient is φ = 117706129661952.

The previous prime is 444122667037421. The next prime is 444122667037447. The reversal of 444122667037440 is 44730766221444.

444122667037440 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 2 + 266 + 7 + 0 + 374 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (444122667037447) 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, 116380875 + ... + 120136394.

Almost surely, 2^{444122667037440} is an apocalyptic number.

444122667037440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444122667037440 is an abundant number, since it is smaller than the sum of its proper divisors (1101922609978800).

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

444122667037440 is a wasteful number, since it uses less digits than its factorization.

444122667037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236517459 (or 236517442 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 444122667037440 in words is "four hundred forty-four trillion, one hundred twenty-two billion, six hundred sixty-seven million, thirty-seven thousand, four hundred forty".