29240412480 has 224 divisors, whose sum is σ = 103266240000. Its totient is φ = 7788939264.

The previous prime is 29240412469. The next prime is 29240412497. The reversal of 29240412480 is 8421404292.

29240412480 is a `hidden beast` number, since 2 + 9 + 2 + 404 + 1 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14626521 + ... + 14628519.

It is an arithmetic number, because the mean of its divisors is an integer number (461010000).

Almost surely, 2^29240412480 is an apocalyptic number.

29240412480 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 29240412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51633120000).

29240412480 is an abundant number, since it is smaller than the sum of its proper divisors (74025827520).

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

29240412480 is a wasteful number, since it uses less digits than its factorization.

29240412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 29240412480 in words is "twenty-nine billion, two hundred forty million, four hundred twelve thousand, four hundred eighty".