43351664640 has 576 divisors, whose sum is σ = 155687313600. Its totient is φ = 10267656192.

The previous prime is 43351664617. The next prime is 43351664641. The reversal of 43351664640 is 4646615334.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 43351664592 and 43351664601.

It is not an unprimeable number, because it can be changed into a prime (43351664641) 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, 168683392 + ... + 168683648.

It is an arithmetic number, because the mean of its divisors is an integer number (270290475).

Almost surely, 2^43351664640 is an apocalyptic number.

43351664640 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 43351664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77843656800).

43351664640 is an abundant number, since it is smaller than the sum of its proper divisors (112335648960).

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

43351664640 is a wasteful number, since it uses less digits than its factorization.

43351664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 43351664640 in words is "forty-three billion, three hundred fifty-one million, six hundred sixty-four thousand, six hundred forty".