43138033920 has 360 divisors, whose sum is σ = 155533654584. Its totient is φ = 11415748608.

The previous prime is 43138033909. The next prime is 43138033921. The reversal of 43138033920 is 2933083134.

43138033920 is a `hidden beast` number, since 4 + 313 + 8 + 0 + 339 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12071856384 + 31066177536 = 109872^2 + 176256^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (43138033921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14202642 + ... + 14205678.

Almost surely, 2^43138033920 is an apocalyptic number.

43138033920 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 43138033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77766827292).

43138033920 is an abundant number, since it is smaller than the sum of its proper divisors (112395620664).

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

43138033920 is a wasteful number, since it uses less digits than its factorization.

43138033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 43138033920 in words is "forty-three billion, one hundred thirty-eight million, thirty-three thousand, nine hundred twenty".