444698000640 has 576 divisors, whose sum is σ = 1743587596800. Its totient is φ = 106754605056.

The previous prime is 444698000603. The next prime is 444698000647. The reversal of 444698000640 is 46000896444.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444698000647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13496506 + ... + 13529414.

It is an arithmetic number, because the mean of its divisors is an integer number (3027061800).

Almost surely, 2^444698000640 is an apocalyptic number.

444698000640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444698000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871793798400).

444698000640 is an abundant number, since it is smaller than the sum of its proper divisors (1298889596160).

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

444698000640 is a wasteful number, since it uses less digits than its factorization.

444698000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32979 (or 32959 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 444698000640 in words is "four hundred forty-four billion, six hundred ninety-eight million, six hundred forty", and thus it is an aban number.