29120541420 has 96 divisors (see below), whose sum is σ = 84041044416. Its totient is φ = 7528550400.

The previous prime is 29120541419. The next prime is 29120541473. The reversal of 29120541420 is 2414502192.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 600480 + ... + 647160.

It is an arithmetic number, because the mean of its divisors is an integer number (875427546).

Almost surely, 2^29120541420 is an apocalyptic number.

29120541420 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 29120541420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42020522208).

29120541420 is an abundant number, since it is smaller than the sum of its proper divisors (54920502996).

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

29120541420 is a wasteful number, since it uses less digits than its factorization.

29120541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47011 (or 47009 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 29120541420 in words is "twenty-nine billion, one hundred twenty million, five hundred forty-one thousand, four hundred twenty".