43138050120 has 640 divisors, whose sum is σ = 168740288640. Its totient is φ = 9808957440.

The previous prime is 43138050097. The next prime is 43138050127. The reversal of 43138050120 is 2105083134.

It is a happy number.

43138050120 is a `hidden beast` number, since 4 + 3 + 138 + 0 + 501 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (43138050127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 147228694 + ... + 147228986.

It is an arithmetic number, because the mean of its divisors is an integer number (263656701).

Almost surely, 2^43138050120 is an apocalyptic number.

43138050120 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 43138050120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84370144320).

43138050120 is an abundant number, since it is smaller than the sum of its proper divisors (125602238520).

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

43138050120 is a wasteful number, since it uses less digits than its factorization.

43138050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 43138050120 in words is "forty-three billion, one hundred thirty-eight million, fifty thousand, one hundred twenty".