4044451249440 has 384 divisors, whose sum is σ = 16186147729920. Its totient is φ = 923969286144.

The previous prime is 4044451249417. The next prime is 4044451249463. The reversal of 4044451249440 is 449421544404.

4044451249440 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 4 + 512 + 4 + 94 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4044451249417) and next prime (4044451249463).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60355794 + ... + 60422766.

It is an arithmetic number, because the mean of its divisors is an integer number (42151426380).

Almost surely, 2^{4044451249440} is an apocalyptic number.

4044451249440 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 4044451249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093073864960).

4044451249440 is an abundant number, since it is smaller than the sum of its proper divisors (12141696480480).

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

4044451249440 is a wasteful number, since it uses less digits than its factorization.

4044451249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69001 (or 68987 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 4044451249440 in words is "four trillion, forty-four billion, four hundred fifty-one million, two hundred forty-nine thousand, four hundred forty".