29431422413952 has 512 divisors, whose sum is σ = 87245215948800. Its totient is φ = 8732746874880.

The previous prime is 29431422413903. The next prime is 29431422413989. The reversal of 29431422413952 is 25931422413492.

It is a junction number, because it is equal to n+sod(n) for n = 29431422413895 and 29431422413904.

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 63 ways as a sum of consecutive naturals, for example, 15663342549 + ... + 15663344427.

It is an arithmetic number, because the mean of its divisors is an integer number (170400812400).

Almost surely, 2^{29431422413952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29431422413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43622607974400).

29431422413952 is an abundant number, since it is smaller than the sum of its proper divisors (57813793534848).

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

29431422413952 is a wasteful number, since it uses less digits than its factorization.

29431422413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2784 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The spelling of 29431422413952 in words is "twenty-nine trillion, four hundred thirty-one billion, four hundred twenty-two million, four hundred thirteen thousand, nine hundred fifty-two".