29331400000 has 504 divisors, whose sum is σ = 87880359672. Its totient is φ = 9676800000.

The previous prime is 29331399947. The next prime is 29331400013. The reversal of 29331400000 is 413392.

It can be written as a sum of positive squares in 12 ways, for example, as 28054910016 + 1276489984 = 167496^2 + 35728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 401799964 + ... + 401800036.

It is an arithmetic number, because the mean of its divisors is an integer number (174365793).

Almost surely, 2^29331400000 is an apocalyptic number.

29331400000 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 29331400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43940179836).

29331400000 is an abundant number, since it is smaller than the sum of its proper divisors (58548959672).

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

29331400000 is an frugal number, since it uses more digits than its factorization.

29331400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 29331400000 its reverse (413392), we get a palindrome (29331813392).

The spelling of 29331400000 in words is "twenty-nine billion, three hundred thirty-one million, four hundred thousand".