29965540401 has 6 divisors (see below), whose sum is σ = 43283558370. Its totient is φ = 19977026928.

The previous prime is 29965540393. The next prime is 29965540403. The reversal of 29965540401 is 10404556992.

29965540401 is a `hidden beast` number, since 2 + 9 + 9 + 65 + 540 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27922410000 + 2043130401 = 167100^2 + 45201^2 .

It is not a de Polignac number, because 29965540401 - 2³ = 29965540393 is a prime.

It is a super-2 number, since 2×29965540401² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29965540403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1664752236 + ... + 1664752253.

It is an arithmetic number, because the mean of its divisors is an integer number (7213926395).

Almost surely, 2^29965540401 is an apocalyptic number.

It is an amenable number.

29965540401 is a deficient number, since it is larger than the sum of its proper divisors (13318017969).

29965540401 is a wasteful number, since it uses less digits than its factorization.

29965540401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329504495 (or 3329504492 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 29965540401 in words is "twenty-nine billion, nine hundred sixty-five million, five hundred forty thousand, four hundred one".