29899242720400 has 135 divisors (see below), whose sum is σ = 75098209247481. Its totient is φ = 11438747886720.

The previous prime is 29899242720397. The next prime is 29899242720437. The reversal of 29899242720400 is 402724299892.

It is a happy number.

The square root of 29899242720400 is 5468020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10763727379344 + 19135515341056 = 3280812^2 + 4374416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2515283257 + ... + 2515295143.

Almost surely, 2^{29899242720400} is an apocalyptic number.

29899242720400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29899242720400 is the 5468020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29899242720400

29899242720400 is an abundant number, since it is smaller than the sum of its proper divisors (45198966527081).

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

29899242720400 is an frugal number, since it uses more digits than its factorization.

29899242720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23838 (or 11917 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 29899242720400 in words is "twenty-nine trillion, eight hundred ninety-nine billion, two hundred forty-two million, seven hundred twenty thousand, four hundred".