29438456640 has 224 divisors, whose sum is σ = 99183139200. Its totient is φ = 7372210176.

The previous prime is 29438456639. The next prime is 29438456659. The reversal of 29438456640 is 4665483492.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 8533636 + ... + 8537084.

Almost surely, 2^29438456640 is an apocalyptic number.

29438456640 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 29438456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49591569600).

29438456640 is an abundant number, since it is smaller than the sum of its proper divisors (69744682560).

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

29438456640 is a wasteful number, since it uses less digits than its factorization.

29438456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 29438456640 in words is "twenty-nine billion, four hundred thirty-eight million, four hundred fifty-six thousand, six hundred forty".