6044814397440 has 2080 divisors, whose sum is σ = 27845239758336. Its totient is φ = 1219236986880.

The previous prime is 6044814397429. The next prime is 6044814397579. The reversal of 6044814397440 is 447934184406.

It is a happy number.

6044814397440 is a `hidden beast` number, since 60 + 4 + 4 + 81 + 439 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3472034970 + ... + 3472036710.

Almost surely, 2^{6044814397440} is an apocalyptic number.

6044814397440 is a gapful number since it is divisible by the number (60) 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 6044814397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13922619879168).

6044814397440 is an abundant number, since it is smaller than the sum of its proper divisors (21800425360896).

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

6044814397440 is a wasteful number, since it uses less digits than its factorization.

6044814397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 6044814397440 in words is "six trillion, forty-four billion, eight hundred fourteen million, three hundred ninety-seven thousand, four hundred forty".