29071159040 has 432 divisors, whose sum is σ = 91477421280. Its totient is φ = 8742666240.

The previous prime is 29071158989. The next prime is 29071159049. The reversal of 29071159040 is 4095117092.

It is a junction number, because it is equal to n+sod(n) for n = 29071158985 and 29071159003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29071159049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20006954 + ... + 20008406.

It is an arithmetic number, because the mean of its divisors is an integer number (211753290).

Almost surely, 2^29071159040 is an apocalyptic number.

29071159040 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 29071159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738710640).

29071159040 is an abundant number, since it is smaller than the sum of its proper divisors (62406262240).

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

29071159040 is a wasteful number, since it uses less digits than its factorization.

29071159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 29071159040 in words is "twenty-nine billion, seventy-one million, one hundred fifty-nine thousand, forty".