29416209420 has 192 divisors, whose sum is σ = 94404030336. Its totient is φ = 6779781120.

The previous prime is 29416209413. The next prime is 29416209451. The reversal of 29416209420 is 2490261492.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2606590 + ... + 2617850.

It is an arithmetic number, because the mean of its divisors is an integer number (491687658).

Almost surely, 2^29416209420 is an apocalyptic number.

29416209420 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 29416209420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47202015168).

29416209420 is an abundant number, since it is smaller than the sum of its proper divisors (64987820916).

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

29416209420 is a wasteful number, since it uses less digits than its factorization.

29416209420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11498 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 29416209420 in words is "twenty-nine billion, four hundred sixteen million, two hundred nine thousand, four hundred twenty".