43413671401038 has 128 divisors (see below), whose sum is σ = 98373690777600. Its totient is φ = 14188849516800.

The previous prime is 43413671401021. The next prime is 43413671401039. The reversal of 43413671401038 is 83010417631434.

43413671401038 is a `hidden beast` number, since 4 + 3 + 41 + 367 + 140 + 103 + 8 = 666.

43413671401038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 43413671400984 and 43413671401002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43413671401039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 538050058 + ... + 538130738.

It is an arithmetic number, because the mean of its divisors is an integer number (768544459200).

Almost surely, 2^{43413671401038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43413671401038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49186845388800).

43413671401038 is an abundant number, since it is smaller than the sum of its proper divisors (54960019376562).

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

43413671401038 is a wasteful number, since it uses less digits than its factorization.

43413671401038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81535 (or 81529 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 43413671401038 in words is "forty-three trillion, four hundred thirteen billion, six hundred seventy-one million, four hundred one thousand, thirty-eight".