29331013440 has 224 divisors, whose sum is σ = 94798408320. Its totient is φ = 7681867776.

The previous prime is 29331013433. The next prime is 29331013457. The reversal of 29331013440 is 4431013392.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29331013398 and 29331013407.

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, 38141376 + ... + 38142144.

It is an arithmetic number, because the mean of its divisors is an integer number (423207180).

Almost surely, 2^29331013440 is an apocalyptic number.

29331013440 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 29331013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47399204160).

29331013440 is an abundant number, since it is smaller than the sum of its proper divisors (65467394880).

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

29331013440 is a wasteful number, since it uses less digits than its factorization.

29331013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 29331013440 in words is "twenty-nine billion, three hundred thirty-one million, thirteen thousand, four hundred forty".