29379728040 has 256 divisors, whose sum is σ = 99283968000. Its totient is φ = 6900900864.

The previous prime is 29379728039. The next prime is 29379728057. The reversal of 29379728040 is 4082797392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21491437 + ... + 21492803.

It is an arithmetic number, because the mean of its divisors is an integer number (387828000).

Almost surely, 2^29379728040 is an apocalyptic number.

29379728040 is a gapful number since it is divisible by the number (20) 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 29379728040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49641984000).

29379728040 is an abundant number, since it is smaller than the sum of its proper divisors (69904239960).

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

29379728040 is a wasteful number, since it uses less digits than its factorization.

29379728040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 29379728040 in words is "twenty-nine billion, three hundred seventy-nine million, seven hundred twenty-eight thousand, forty".