8723943019440 has 2880 divisors, whose sum is σ = 37344009830400. Its totient is φ = 1883051089920.

The previous prime is 8723943019399. The next prime is 8723943019487. The reversal of 8723943019440 is 449103493278.

8723943019440 is a `hidden beast` number, since 8 + 72 + 3 + 94 + 30 + 19 + 440 = 666.

It is a super-2 number, since 2×8723943019440² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 68692464657 + ... + 68692464783.

It is an arithmetic number, because the mean of its divisors is an integer number (12966670080).

Almost surely, 2^{8723943019440} is an apocalyptic number.

8723943019440 is a gapful number since it is divisible by the number (80) 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 8723943019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18672004915200).

8723943019440 is an abundant number, since it is smaller than the sum of its proper divisors (28620066810960).

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

8723943019440 is a wasteful number, since it uses less digits than its factorization.

8723943019440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 8723943019440 in words is "eight trillion, seven hundred twenty-three billion, nine hundred forty-three million, nineteen thousand, four hundred forty".