444377776320 has 224 divisors, whose sum is σ = 1589748042240. Its totient is φ = 116831554560.

The previous prime is 444377776301. The next prime is 444377776321. The reversal of 444377776320 is 23677773444.

It is a happy number.

444377776320 is a `hidden beast` number, since 4 + 443 + 77 + 77 + 63 + 2 + 0 = 666.

It is a super-3 number, since 3×444377776320³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (444377776321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251239 + ... + 975641.

Almost surely, 2^444377776320 is an apocalyptic number.

444377776320 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 444377776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794874021120).

444377776320 is an abundant number, since it is smaller than the sum of its proper divisors (1145370265920).

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

444377776320 is a wasteful number, since it uses less digits than its factorization.

444377776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724500 (or 724484 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 54.

The spelling of 444377776320 in words is "four hundred forty-four billion, three hundred seventy-seven million, seven hundred seventy-six thousand, three hundred twenty".