29020011400 has 96 divisors (see below), whose sum is σ = 70829395200. Its totient is φ = 11043014400.

The previous prime is 29020011367. The next prime is 29020011413. The reversal of 29020011400 is 411002092.

It is a super-2 number, since 2×29020011400² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 326134 + ... + 405466.

It is an arithmetic number, because the mean of its divisors is an integer number (737806200).

Almost surely, 2^29020011400 is an apocalyptic number.

29020011400 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 29020011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35414697600).

29020011400 is an abundant number, since it is smaller than the sum of its proper divisors (41809383800).

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

29020011400 is a wasteful number, since it uses less digits than its factorization.

29020011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79439 (or 79430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 29020011400 its reverse (411002092), we get a palindrome (29431013492).

The spelling of 29020011400 in words is "twenty-nine billion, twenty million, eleven thousand, four hundred".