444630356381100 has 144 divisors (see below), whose sum is σ = 1293415181408000. Its totient is φ = 117927866200320.

The previous prime is 444630356381069. The next prime is 444630356381171. The reversal of 444630356381100 is 1183653036444.

It is a self number, because there is not a number n which added to its sum of digits gives 444630356381100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157341822 + ... + 160142778.

Almost surely, 2^{444630356381100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444630356381100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646707590704000).

444630356381100 is an abundant number, since it is smaller than the sum of its proper divisors (848784825026900).

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

444630356381100 is a wasteful number, since it uses less digits than its factorization.

444630356381100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803832 (or 2803825 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 444630356381100 in words is "four hundred forty-four trillion, six hundred thirty billion, three hundred fifty-six million, three hundred eighty-one thousand, one hundred".