29438640000 has 1600 divisors, whose sum is σ = 138803068800. Its totient is φ = 6013440000.

The previous prime is 29438639999. The next prime is 29438640061. The reversal of 29438640000 is 4683492.

It is a happy number.

29438640000 is a `hidden beast` number, since 2 + 9 + 4 + 3 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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 polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 498959971 + ... + 498960029.

It is an arithmetic number, because the mean of its divisors is an integer number (86751918).

Almost surely, 2^29438640000 is an apocalyptic number.

29438640000 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 29438640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69401534400).

29438640000 is an abundant number, since it is smaller than the sum of its proper divisors (109364428800).

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

29438640000 is an equidigital number, since it uses as much as digits as its factorization.

29438640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 29438640000 in words is "twenty-nine billion, four hundred thirty-eight million, six hundred forty thousand".