444407061621600 has 1440 divisors, whose sum is σ = 2021039762176512. Its totient is φ = 92322892800000.

The previous prime is 444407061621521. The next prime is 444407061621661. The reversal of 444407061621600 is 6126160704444.

444407061621600 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 0 + 7 + 0 + 6 + 16 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30541334325 + ... + 30541348875.

Almost surely, 2^{444407061621600} is an apocalyptic number.

444407061621600 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 444407061621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010519881088256).

444407061621600 is an abundant number, since it is smaller than the sum of its proper divisors (1576632700554912).

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

444407061621600 is a wasteful number, since it uses less digits than its factorization.

444407061621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20722 (or 20700 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 444407061621600 in words is "four hundred forty-four trillion, four hundred seven billion, sixty-one million, six hundred twenty-one thousand, six hundred".