444397777920 has 528 divisors, whose sum is σ = 1690870603968. Its totient is φ = 111529820160.

The previous prime is 444397777909. The next prime is 444397777931. The reversal of 444397777920 is 29777793444.

444397777920 is a `hidden beast` number, since 44 + 439 + 7 + 7 + 77 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (444397777909) and next prime (444397777931).

It is a congruent number.

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, 21140215 + ... + 21161225.

Almost surely, 2^444397777920 is an apocalyptic number.

444397777920 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 444397777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845435301984).

444397777920 is an abundant number, since it is smaller than the sum of its proper divisors (1246472826048).

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

444397777920 is a wasteful number, since it uses less digits than its factorization.

444397777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21068 (or 21038 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 444397777920 in words is "four hundred forty-four billion, three hundred ninety-seven million, seven hundred seventy-seven thousand, nine hundred twenty".