43978906125 has 256 divisors, whose sum is σ = 101956608000. Its totient is φ = 18172512000.

The previous prime is 43978906079. The next prime is 43978906141. The reversal of 43978906125 is 52160987934.

43978906125 is a `hidden beast` number, since 439 + 7 + 89 + 0 + 6 + 125 = 666.

43978906125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 43978906125 - 2¹⁸ = 43978643981 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59511006 + ... + 59511744.

It is an arithmetic number, because the mean of its divisors is an integer number (398268000).

It is a 1-persistent number, because it is pandigital, but 2⋅43978906125 = 87957812250 is not.

Almost surely, 2^43978906125 is an apocalyptic number.

43978906125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

43978906125 is an abundant number, since it is smaller than the sum of its proper divisors (57977701875).

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

43978906125 is a wasteful number, since it uses less digits than its factorization.

43978906125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 43978906125 in words is "forty-three billion, nine hundred seventy-eight million, nine hundred six thousand, one hundred twenty-five".