29442216960 has 880 divisors, whose sum is σ = 117177747456. Its totient is φ = 7023034368.

The previous prime is 29442216949. The next prime is 29442216967. The reversal of 29442216960 is 6961224492.

29442216960 is a `hidden beast` number, since 2 + 9 + 4 + 422 + 169 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29442216967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231828417 + ... + 231828543.

Almost surely, 2^29442216960 is an apocalyptic number.

29442216960 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 29442216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58588873728).

29442216960 is an abundant number, since it is smaller than the sum of its proper divisors (87735530496).

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

29442216960 is a wasteful number, since it uses less digits than its factorization.

29442216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 29442216960 in words is "twenty-nine billion, four hundred forty-two million, two hundred sixteen thousand, nine hundred sixty".