29950414720 has 128 divisors (see below), whose sum is σ = 73914936480. Its totient is φ = 11597414400.

The previous prime is 29950414661. The next prime is 29950414721. The reversal of 29950414720 is 2741405992.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29950414721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3433084 + ... + 3441796.

Almost surely, 2^29950414720 is an apocalyptic number.

29950414720 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 29950414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36957468240).

29950414720 is an abundant number, since it is smaller than the sum of its proper divisors (43964521760).

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

29950414720 is a wasteful number, since it uses less digits than its factorization.

29950414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 29950414720 in words is "twenty-nine billion, nine hundred fifty million, four hundred fourteen thousand, seven hundred twenty".