29410941120 has 448 divisors, whose sum is σ = 108599118336. Its totient is φ = 6664683520.

The previous prime is 29410941031. The next prime is 29410941139. The reversal of 29410941120 is 2114901492.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31056487 + ... + 31057433.

Almost surely, 2^29410941120 is an apocalyptic number.

29410941120 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 29410941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54299559168).

29410941120 is an abundant number, since it is smaller than the sum of its proper divisors (79188177216).

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

29410941120 is a wasteful number, since it uses less digits than its factorization.

29410941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 29410941120 in words is "twenty-nine billion, four hundred ten million, nine hundred forty-one thousand, one hundred twenty".