444248640000 has 1200 divisors, whose sum is σ = 1799776012320. Its totient is φ = 104509440000.

The previous prime is 444248639971. The next prime is 444248640019. The reversal of 444248640000 is 46842444.

444248640000 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 4 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1172159811 + ... + 1172160189.

Almost surely, 2^444248640000 is an apocalyptic number.

444248640000 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 444248640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899888006160).

444248640000 is an abundant number, since it is smaller than the sum of its proper divisors (1355527372320).

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

444248640000 is a wasteful number, since it uses less digits than its factorization.

444248640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 444248640000 in words is "four hundred forty-four billion, two hundred forty-eight million, six hundred forty thousand".