29997928919241 has 48 divisors (see below), whose sum is σ = 46240439813568. Its totient is φ = 18674091571200.

The previous prime is 29997928919221. The next prime is 29997928919261. The reversal of 29997928919241 is 14291982979992.

29997928919241 is a `hidden beast` number, since 2 + 9 + 9 + 97 + 9 + 289 + 1 + 9 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (29997928919221) and next prime (29997928919261).

It is not a de Polignac number, because 29997928919241 - 2²⁶ = 29997861810377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29997928919221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84825910 + ... + 85178816.

It is an arithmetic number, because the mean of its divisors is an integer number (963342496116).

Almost surely, 2^{29997928919241} is an apocalyptic number.

It is an amenable number.

29997928919241 is a deficient number, since it is larger than the sum of its proper divisors (16242510894327).

29997928919241 is a wasteful number, since it uses less digits than its factorization.

29997928919241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357302 (or 357299 counting only the distinct ones).

The product of its digits is 952342272, while the sum is 81.

The spelling of 29997928919241 in words is "twenty-nine trillion, nine hundred ninety-seven billion, nine hundred twenty-eight million, nine hundred nineteen thousand, two hundred forty-one".