29950404480 has 320 divisors, whose sum is σ = 110414494080. Its totient is φ = 7728721920.

The previous prime is 29950404479. The next prime is 29950404487. The reversal of 29950404480 is 8440405992.

29950404480 is a `hidden beast` number, since 29 + 9 + 504 + 0 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29950404487) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1597722 + ... + 1616358.

It is an arithmetic number, because the mean of its divisors is an integer number (345045294).

Almost surely, 2^29950404480 is an apocalyptic number.

29950404480 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 29950404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55207247040).

29950404480 is an abundant number, since it is smaller than the sum of its proper divisors (80464089600).

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

29950404480 is a wasteful number, since it uses less digits than its factorization.

29950404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18699 (or 18678 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 29950404480 in words is "twenty-nine billion, nine hundred fifty million, four hundred four thousand, four hundred eighty".