4144305876480 has 2400 divisors, whose sum is σ = 19558743874560. Its totient is φ = 814695874560.

The previous prime is 4144305876443. The next prime is 4144305876493. The reversal of 4144305876480 is 846785034414.

4144305876480 is a `hidden beast` number, since 4 + 1 + 4 + 43 + 0 + 58 + 76 + 480 = 666.

It is a super-2 number, since 2×4144305876480² (a number of 26 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 5763985561 + ... + 5763986279.

Almost surely, 2^{4144305876480} is an apocalyptic number.

4144305876480 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 4144305876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779371937280).

4144305876480 is an abundant number, since it is smaller than the sum of its proper divisors (15414437998080).

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

4144305876480 is a wasteful number, since it uses less digits than its factorization.

4144305876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4144305876480 in words is "four trillion, one hundred forty-four billion, three hundred five million, eight hundred seventy-six thousand, four hundred eighty".