29920391424 has 432 divisors, whose sum is σ = 108240297984. Its totient is φ = 7722086400.

The previous prime is 29920391419. The next prime is 29920391429. The reversal of 29920391424 is 42419302992.

It is an interprime number because it is at equal distance from previous prime (29920391419) and next prime (29920391429).

It is a self number, because there is not a number n which added to its sum of digits gives 29920391424.

It is not an unprimeable number, because it can be changed into a prime (29920391429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33884487 + ... + 33885369.

Almost surely, 2^29920391424 is an apocalyptic number.

29920391424 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 29920391424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54120148992).

29920391424 is an abundant number, since it is smaller than the sum of its proper divisors (78319906560).

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

29920391424 is a wasteful number, since it uses less digits than its factorization.

29920391424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 29920391424 in words is "twenty-nine billion, nine hundred twenty million, three hundred ninety-one thousand, four hundred twenty-four".