4239729067392 has 2048 divisors, whose sum is σ = 16656192000000. Its totient is φ = 1053325099008.

The previous prime is 4239729067349. The next prime is 4239729067417. The reversal of 4239729067392 is 2937609279324.

4239729067392 is a `hidden beast` number, since 4 + 2 + 39 + 72 + 90 + 67 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 23685637159 + ... + 23685637337.

It is an arithmetic number, because the mean of its divisors is an integer number (8132906250).

Almost surely, 2^{4239729067392} is an apocalyptic number.

4239729067392 is a gapful number since it is divisible by the number (42) 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 4239729067392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328096000000).

4239729067392 is an abundant number, since it is smaller than the sum of its proper divisors (12416462932608).

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

4239729067392 is a wasteful number, since it uses less digits than its factorization.

4239729067392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 4239729067392 in words is "four trillion, two hundred thirty-nine billion, seven hundred twenty-nine million, sixty-seven thousand, three hundred ninety-two".