43419138048 has 1152 divisors, whose sum is σ = 168962976000. Its totient is φ = 10829168640.

The previous prime is 43419138041. The next prime is 43419138073. The reversal of 43419138048 is 84083191434.

43419138048 is a `hidden beast` number, since 43 + 4 + 191 + 380 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 43419137994 and 43419138012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43419138041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2285217783 + ... + 2285217801.

It is an arithmetic number, because the mean of its divisors is an integer number (146669250).

Almost surely, 2^43419138048 is an apocalyptic number.

43419138048 is a gapful number since it is divisible by the number (48) 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 43419138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84481488000).

43419138048 is an abundant number, since it is smaller than the sum of its proper divisors (125543837952).

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

43419138048 is a wasteful number, since it uses less digits than its factorization.

43419138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 43419138048 in words is "forty-three billion, four hundred nineteen million, one hundred thirty-eight thousand, forty-eight".