29030400000 has 900 divisors, whose sum is σ = 123892289136. Its totient is φ = 6635520000.

The previous prime is 29030399999. The next prime is 29030400031. The reversal of 29030400000 is 403092.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4147199997 + ... + 4147200003.

Almost surely, 2^29030400000 is an apocalyptic number.

29030400000 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 29030400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61946144568).

29030400000 is an abundant number, since it is smaller than the sum of its proper divisors (94861889136).

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

29030400000 is an frugal number, since it uses more digits than its factorization.

29030400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 29030400000 its reverse (403092), we get a palindrome (29030803092).

The spelling of 29030400000 in words is "twenty-nine billion, thirty million, four hundred thousand".