4440031400000 has 336 divisors, whose sum is σ = 12792462729984. Its totient is φ = 1497312000000.

The previous prime is 4440031399997. The next prime is 4440031400003. The reversal of 4440031400000 is 41300444.

It is an interprime number because it is at equal distance from previous prime (4440031399997) and next prime (4440031400003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4440031400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85374005 + ... + 85425995.

It is an arithmetic number, because the mean of its divisors is an integer number (38072805744).

Almost surely, 2^{4440031400000} is an apocalyptic number.

4440031400000 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 4440031400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396231364992).

4440031400000 is an abundant number, since it is smaller than the sum of its proper divisors (8352431329984).

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

4440031400000 is an frugal number, since it uses more digits than its factorization.

4440031400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52096 (or 52066 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4440031400000 its reverse (41300444), we get a palindrome (4440072700444).

The spelling of 4440031400000 in words is "four trillion, four hundred forty billion, thirty-one million, four hundred thousand".