29432397385920 has 224 divisors, whose sum is σ = 93644621033472. Its totient is φ = 7832131227648.

The previous prime is 29432397385901. The next prime is 29432397385931. The reversal of 29432397385920 is 2958379323492.

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 31 ways as a sum of consecutive naturals, for example, 905512389 + ... + 905544891.

Almost surely, 2^{29432397385920} is an apocalyptic number.

29432397385920 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 29432397385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46822310516736).

29432397385920 is an abundant number, since it is smaller than the sum of its proper divisors (64212223647552).

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

29432397385920 is a wasteful number, since it uses less digits than its factorization.

29432397385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34479 (or 34469 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 66.

The spelling of 29432397385920 in words is "twenty-nine trillion, four hundred thirty-two billion, three hundred ninety-seven million, three hundred eighty-five thousand, nine hundred twenty".