29917624044 has 144 divisors (see below), whose sum is σ = 88672993920. Its totient is φ = 7763293440.

The previous prime is 29917624043. The next prime is 29917624073. The reversal of 29917624044 is 44042671992.

It is a junction number, because it is equal to n+sod(n) for n = 29917623984 and 29917624002.

It is not an unprimeable number, because it can be changed into a prime (29917624043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10470264 + ... + 10473120.

It is an arithmetic number, because the mean of its divisors is an integer number (615784680).

Almost surely, 2^29917624044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29917624044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44336496960).

29917624044 is an abundant number, since it is smaller than the sum of its proper divisors (58755369876).

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

29917624044 is a wasteful number, since it uses less digits than its factorization.

29917624044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 29917624044 in words is "twenty-nine billion, nine hundred seventeen million, six hundred twenty-four thousand, forty-four".