29414801079072 has 144 divisors (see below), whose sum is σ = 88853623028352. Its totient is φ = 9198499829760.

The previous prime is 29414801079031. The next prime is 29414801079073. The reversal of 29414801079072 is 27097010841492.

29414801079072 is a `hidden beast` number, since 2 + 9 + 4 + 1 + 480 + 1 + 0 + 7 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (29414801079073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8136388 + ... + 11181699.

It is an arithmetic number, because the mean of its divisors is an integer number (617039048808).

Almost surely, 2^{29414801079072} is an apocalyptic number.

It is an amenable number.

29414801079072 is an abundant number, since it is smaller than the sum of its proper divisors (59438821949280).

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

29414801079072 is a wasteful number, since it uses less digits than its factorization.

29414801079072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19318431 (or 19318420 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 29414801079072 in words is "twenty-nine trillion, four hundred fourteen billion, eight hundred one million, seventy-nine thousand, seventy-two".