29404348473120 has 384 divisors, whose sum is σ = 94566196327680. Its totient is φ = 7677824778240.

The previous prime is 29404348473089. The next prime is 29404348473139. The reversal of 29404348473120 is 2137484340492.

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, 12475326982 + ... + 12475329338.

It is an arithmetic number, because the mean of its divisors is an integer number (246266136270).

Almost surely, 2^{29404348473120} is an apocalyptic number.

29404348473120 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 29404348473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47283098163840).

29404348473120 is an abundant number, since it is smaller than the sum of its proper divisors (65161847854560).

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

29404348473120 is a wasteful number, since it uses less digits than its factorization.

29404348473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 51.

The spelling of 29404348473120 in words is "twenty-nine trillion, four hundred four billion, three hundred forty-eight million, four hundred seventy-three thousand, one hundred twenty".