29146057440 has 96 divisors (see below), whose sum is σ = 92211346080. Its totient is φ = 7738312704.

The previous prime is 29146057417. The next prime is 29146057441. The reversal of 29146057440 is 4475064192.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 29146057392 and 29146057401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29146057441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22659 + ... + 242498.

It is an arithmetic number, because the mean of its divisors is an integer number (960534855).

Almost surely, 2^29146057440 is an apocalyptic number.

29146057440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29146057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46105673040).

29146057440 is an abundant number, since it is smaller than the sum of its proper divisors (63065288640).

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

29146057440 is a wasteful number, since it uses less digits than its factorization.

29146057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265404 (or 265396 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 29146057440 in words is "twenty-nine billion, one hundred forty-six million, fifty-seven thousand, four hundred forty".