4473864765440 has 720 divisors, whose sum is σ = 13031598424320. Its totient is φ = 1468520202240.

The previous prime is 4473864765437. The next prime is 4473864765449. The reversal of 4473864765440 is 445674683744.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (4473864765449) 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, 19536527246 + ... + 19536527474.

It is an arithmetic number, because the mean of its divisors is an integer number (18099442256).

Almost surely, 2^{4473864765440} is an apocalyptic number.

4473864765440 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 4473864765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515799212160).

4473864765440 is an abundant number, since it is smaller than the sum of its proper divisors (8557733658880).

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

4473864765440 is a wasteful number, since it uses less digits than its factorization.

4473864765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 62.

The spelling of 4473864765440 in words is "four trillion, four hundred seventy-three billion, eight hundred sixty-four million, seven hundred sixty-five thousand, four hundred forty".