4138360434936 has 384 divisors, whose sum is σ = 14573105164800. Its totient is φ = 1030250327040.

The previous prime is 4138360434881. The next prime is 4138360434941. The reversal of 4138360434936 is 6394340638314.

It is a happy number.

4138360434936 is a `hidden beast` number, since 4 + 13 + 83 + 60 + 4 + 3 + 493 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34423171 + ... + 34543181.

It is an arithmetic number, because the mean of its divisors is an integer number (37950794700).

Almost surely, 2^{4138360434936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138360434936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286552582400).

4138360434936 is an abundant number, since it is smaller than the sum of its proper divisors (10434744729864).

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

4138360434936 is a wasteful number, since it uses less digits than its factorization.

4138360434936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120339 (or 120332 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 4138360434936 in words is "four trillion, one hundred thirty-eight billion, three hundred sixty million, four hundred thirty-four thousand, nine hundred thirty-six".