4440848040000 has 420 divisors, whose sum is σ = 16335961228444. Its totient is φ = 1152216576000.

The previous prime is 4440848039993. The next prime is 4440848040023. The reversal of 4440848040000 is 408480444.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 3401280193536 + 1039567846464 = 1844256^2 + 1019592^2 .

It is a super-2 number, since 2×4440848040000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13153302 + ... + 13486698.

Almost surely, 2^{4440848040000} is an apocalyptic number.

4440848040000 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 4440848040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167980614222).

4440848040000 is an abundant number, since it is smaller than the sum of its proper divisors (11895113188444).

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

4440848040000 is a wasteful number, since it uses less digits than its factorization.

4440848040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333472 (or 333444 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 4440848040000 in words is "four trillion, four hundred forty billion, eight hundred forty-eight million, forty thousand".