444411500700672 has 704 divisors, whose sum is σ = 1379068267806720. Its totient is φ = 141213155328000.

The previous prime is 444411500700619. The next prime is 444411500700689. The reversal of 444411500700672 is 276007005114444.

444411500700672 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 1 + 1 + 500 + 70 + 0 + 6 + 72 = 666.

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, 15786689797 + ... + 15786717947.

Almost surely, 2^{444411500700672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444411500700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689534133903360).

444411500700672 is an abundant number, since it is smaller than the sum of its proper divisors (934656767106048).

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

444411500700672 is a wasteful number, since it uses less digits than its factorization.

444411500700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28487 (or 28463 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 444411500700672 in words is "four hundred forty-four trillion, four hundred eleven billion, five hundred million, seven hundred thousand, six hundred seventy-two".