4129986731904 has 512 divisors, whose sum is σ = 13503236544000. Its totient is φ = 1232233758720.

The previous prime is 4129986731887. The next prime is 4129986731909. The reversal of 4129986731904 is 4091376899214.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129986731909) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1000236912 + ... + 1000241040.

It is an arithmetic number, because the mean of its divisors is an integer number (26373508875).

Almost surely, 2^{4129986731904} is an apocalyptic number.

4129986731904 is a gapful number since it is divisible by the number (44) 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 4129986731904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751618272000).

4129986731904 is an abundant number, since it is smaller than the sum of its proper divisors (9373249812096).

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

4129986731904 is a wasteful number, since it uses less digits than its factorization.

4129986731904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 4129986731904 in words is "four trillion, one hundred twenty-nine billion, nine hundred eighty-six million, seven hundred thirty-one thousand, nine hundred four".