29962743741342 has 192 divisors, whose sum is σ = 73268304205824. Its totient is φ = 8798205588480.

The previous prime is 29962743741311. The next prime is 29962743741373. The reversal of 29962743741342 is 24314734726992.

29962743741342 is a `hidden beast` number, since 2 + 9 + 9 + 62 + 7 + 437 + 4 + 134 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (29962743741311) and next prime (29962743741373).

It is a self number, because there is not a number n which added to its sum of digits gives 29962743741342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751141717 + ... + 2751152607.

It is an arithmetic number, because the mean of its divisors is an integer number (381605751072).

Almost surely, 2^{29962743741342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29962743741342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36634152102912).

29962743741342 is an abundant number, since it is smaller than the sum of its proper divisors (43305560464482).

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

29962743741342 is a wasteful number, since it uses less digits than its factorization.

29962743741342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19303 (or 19300 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 29962743741342 in words is "twenty-nine trillion, nine hundred sixty-two billion, seven hundred forty-three million, seven hundred forty-one thousand, three hundred forty-two".