29430007012224 has 1536 divisors, whose sum is σ = 114784045608960. Its totient is φ = 7283889930240.

The previous prime is 29430007012213. The next prime is 29430007012313. The reversal of 29430007012224 is 42221070003492.

It is a happy number.

It is a super-2 number, since 2×29430007012224² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 22278581484 + ... + 22278582804.

It is an arithmetic number, because the mean of its divisors is an integer number (74729196360).

Almost surely, 2^{29430007012224} is an apocalyptic number.

29430007012224 is a gapful number since it is divisible by the number (24) 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 29430007012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57392022804480).

29430007012224 is an abundant number, since it is smaller than the sum of its proper divisors (85354038596736).

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

29430007012224 is a wasteful number, since it uses less digits than its factorization.

29430007012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 29430007012224 in words is "twenty-nine trillion, four hundred thirty billion, seven million, twelve thousand, two hundred twenty-four".