29801807424 has 63 divisors (see below), whose sum is σ = 85433377393. Its totient is φ = 9932554752.

The previous prime is 29801807419. The next prime is 29801807447. The reversal of 29801807424 is 42470810892.

The square root of 29801807424 is 172632.

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., 1835265600 + 27966541824 = 42840^2 + 167232^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29801807424.

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 8 ways as a sum of consecutive naturals, for example, 4139572 + ... + 4146764.

Almost surely, 2^29801807424 is an apocalyptic number.

29801807424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29801807424 is the 172632-nd square number.

It is an amenable number.

29801807424 is an abundant number, since it is smaller than the sum of its proper divisors (55631569969).

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

29801807424 is an frugal number, since it uses more digits than its factorization.

29801807424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14404 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

It can be divided in two parts, 29801 and 807424, that added together give a square (837225 = 915²).

The spelling of 29801807424 in words is "twenty-nine billion, eight hundred one million, eight hundred seven thousand, four hundred twenty-four".