29125440000 has 400 divisors, whose sum is σ = 107764129440. Its totient is φ = 7764480000.

The previous prime is 29125439999. The next prime is 29125440053. The reversal of 29125440000 is 4452192.

29125440000 is a `hidden beast` number, since 2 + 9 + 1 + 254 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8638315 + ... + 8641685.

Almost surely, 2^29125440000 is an apocalyptic number.

29125440000 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 29125440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53882064720).

29125440000 is an abundant number, since it is smaller than the sum of its proper divisors (78638689440).

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

29125440000 is an frugal number, since it uses more digits than its factorization.

29125440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 29125440000 its reverse (4452192), we get a palindrome (29129892192).

The spelling of 29125440000 in words is "twenty-nine billion, one hundred twenty-five million, four hundred forty thousand".