444672848960640 has 256 divisors, whose sum is σ = 1574965057392000. Its totient is φ = 118573248466944.

The previous prime is 444672848960603. The next prime is 444672848960677. The reversal of 444672848960640 is 46069848276444.

444672848960640 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 7 + 2 + 8 + 4 + 8 + 9 + 606 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (444672848960603) and next prime (444672848960677).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335901951 + ... + 337223169.

Almost surely, 2^{444672848960640} is an apocalyptic number.

444672848960640 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 444672848960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787482528696000).

444672848960640 is an abundant number, since it is smaller than the sum of its proper divisors (1130292208431360).

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

444672848960640 is a wasteful number, since it uses less digits than its factorization.

444672848960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340724 (or 1340706 counting only the distinct ones).

The product of its (nonzero) digits is 1783627776, while the sum is 72.

The spelling of 444672848960640 in words is "four hundred forty-four trillion, six hundred seventy-two billion, eight hundred forty-eight million, nine hundred sixty thousand, six hundred forty".