43413327397440 has 3584 divisors, whose sum is σ = 212080031170560. Its totient is φ = 8068792320000.

The previous prime is 43413327397343. The next prime is 43413327397441. The reversal of 43413327397440 is 4479372331434.

43413327397440 is a `hidden beast` number, since 4 + 3 + 4 + 13 + 32 + 73 + 97 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (43413327397441) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 67727499520 + ... + 67727500160.

It is an arithmetic number, because the mean of its divisors is an integer number (59174115840).

Almost surely, 2^{43413327397440} is an apocalyptic number.

43413327397440 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 43413327397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106040015585280).

43413327397440 is an abundant number, since it is smaller than the sum of its proper divisors (168666703773120).

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

43413327397440 is a wasteful number, since it uses less digits than its factorization.

43413327397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 43413327397440 in words is "forty-three trillion, four hundred thirteen billion, three hundred twenty-seven million, three hundred ninety-seven thousand, four hundred forty".