4444084008040 has 64 divisors (see below), whose sum is σ = 10098583522560. Its totient is φ = 1759971386880.

The previous prime is 4444084008037. The next prime is 4444084008043. The reversal of 4444084008040 is 408004804444.

It is an interprime number because it is at equal distance from previous prime (4444084008037) and next prime (4444084008043).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4444084007984 and 4444084008002.

It is not an unprimeable number, because it can be changed into a prime (4444084008043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18175477 + ... + 18418363.

It is an arithmetic number, because the mean of its divisors is an integer number (157790367540).

Almost surely, 2^{4444084008040} is an apocalyptic number.

4444084008040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444084008040 is an abundant number, since it is smaller than the sum of its proper divisors (5654499514520).

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

4444084008040 is a wasteful number, since it uses less digits than its factorization.

4444084008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247442 (or 247438 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 4444084008040 in words is "four trillion, four hundred forty-four billion, eighty-four million, eight thousand, forty".