29810942749000 has 256 divisors, whose sum is σ = 80647871616000. Its totient is φ = 10102659840000.

The previous prime is 29810942748989. The next prime is 29810942749009. The reversal of 29810942749000 is 94724901892.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29810942749009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423457804 + ... + 423528196.

It is an arithmetic number, because the mean of its divisors is an integer number (315030748500).

Almost surely, 2^{29810942749000} is an apocalyptic number.

29810942749000 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 29810942749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40323935808000).

29810942749000 is an abundant number, since it is smaller than the sum of its proper divisors (50836928867000).

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

29810942749000 is a wasteful number, since it uses less digits than its factorization.

29810942749000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71121 (or 71107 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 29810942749000 in words is "twenty-nine trillion, eight hundred ten billion, nine hundred forty-two million, seven hundred forty-nine thousand".