444147636240 has 480 divisors, whose sum is σ = 1894752228096. Its totient is φ = 90548490240.

The previous prime is 444147636181. The next prime is 444147636241. The reversal of 444147636240 is 42636741444.

444147636240 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 4 + 7 + 636 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×444147636240² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (444147636241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2862742 + ... + 3013898.

Almost surely, 2^444147636240 is an apocalyptic number.

444147636240 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 444147636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947376114048).

444147636240 is an abundant number, since it is smaller than the sum of its proper divisors (1450604591856).

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

444147636240 is a wasteful number, since it uses less digits than its factorization.

444147636240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151247 (or 151238 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 444147636240 in words is "four hundred forty-four billion, one hundred forty-seven million, six hundred thirty-six thousand, two hundred forty".