43780417920 has 256 divisors, whose sum is σ = 155252160000. Its totient is φ = 11659991040.

The previous prime is 43780417873. The next prime is 43780417921. The reversal of 43780417920 is 2971408734.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43780417921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24173815 + ... + 24175625.

It is an arithmetic number, because the mean of its divisors is an integer number (606453750).

Almost surely, 2^43780417920 is an apocalyptic number.

43780417920 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 43780417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77626080000).

43780417920 is an abundant number, since it is smaller than the sum of its proper divisors (111471742080).

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

43780417920 is a wasteful number, since it uses less digits than its factorization.

43780417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 43780417920 in words is "forty-three billion, seven hundred eighty million, four hundred seventeen thousand, nine hundred twenty".