43045964881920 has 5376 divisors, whose sum is σ = 213679833808896. Its totient is φ = 7729053696000.

The previous prime is 43045964881877. The next prime is 43045964881957. The reversal of 43045964881920 is 2918846954034.

43045964881920 is a `hidden beast` number, since 4 + 3 + 0 + 4 + 596 + 4 + 8 + 8 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 606281195485 + ... + 606281195555.

It is an arithmetic number, because the mean of its divisors is an integer number (39746992896).

Almost surely, 2^{43045964881920} is an apocalyptic number.

43045964881920 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 43045964881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106839916904448).

43045964881920 is an abundant number, since it is smaller than the sum of its proper divisors (170633868926976).

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

43045964881920 is a wasteful number, since it uses less digits than its factorization.

43045964881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 43045964881920 in words is "forty-three trillion, forty-five billion, nine hundred sixty-four million, eight hundred eighty-one thousand, nine hundred twenty".