43930468133440 has 448 divisors, whose sum is σ = 133291508636160. Its totient is φ = 13425461821440.

The previous prime is 43930468133417. The next prime is 43930468133449. The reversal of 43930468133440 is 4433186403934.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (43930468133449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2805079210 + ... + 2805094870.

It is an arithmetic number, because the mean of its divisors is an integer number (297525688920).

Almost surely, 2^{43930468133440} is an apocalyptic number.

43930468133440 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 43930468133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66645754318080).

43930468133440 is an abundant number, since it is smaller than the sum of its proper divisors (89361040502720).

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

43930468133440 is a wasteful number, since it uses less digits than its factorization.

43930468133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19598 (or 19588 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 52.

The spelling of 43930468133440 in words is "forty-three trillion, nine hundred thirty billion, four hundred sixty-eight million, one hundred thirty-three thousand, four hundred forty".