444477597000000 has 1568 divisors, whose sum is σ = 1646104669590528. Its totient is φ = 105308160000000.

The previous prime is 444477596999993. The next prime is 444477597000013. The reversal of 444477597000000 is 795774444.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 444477596999898 and 444477596999907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 64820996572 + ... + 64821003428.

Almost surely, 2^{444477597000000} is an apocalyptic number.

444477597000000 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 444477597000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823052334795264).

444477597000000 is an abundant number, since it is smaller than the sum of its proper divisors (1201627072590528).

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

444477597000000 is an equidigital number, since it uses as much as digits as its factorization.

444477597000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 444477597000000 in words is "four hundred forty-four trillion, four hundred seventy-seven billion, five hundred ninety-seven million", and thus it is an aban number.