444078113040 has 200 divisors, whose sum is σ = 1546384739328. Its totient is φ = 118110977280.

The previous prime is 444078113021. The next prime is 444078113137. The reversal of 444078113040 is 40311870444.

It is a happy number.

444078113040 is a `hidden beast` number, since 4 + 4 + 407 + 81 + 130 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444078112986 and 444078113004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2392375 + ... + 2571305.

Almost surely, 2^444078113040 is an apocalyptic number.

444078113040 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 444078113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773192369664).

444078113040 is an abundant number, since it is smaller than the sum of its proper divisors (1102306626288).

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

444078113040 is a wasteful number, since it uses less digits than its factorization.

444078113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179339 (or 179324 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 444078113040 its reverse (40311870444), we get a palindrome (484389983484).

The spelling of 444078113040 in words is "four hundred forty-four billion, seventy-eight million, one hundred thirteen thousand, forty".