29313198240 has 384 divisors, whose sum is σ = 100598464512. Its totient is φ = 7153090560.

The previous prime is 29313198227. The next prime is 29313198247. The reversal of 29313198240 is 4289131392.

It is a junction number, because it is equal to n+sod(n) for n = 29313198192 and 29313198201.

It is not an unprimeable number, because it can be changed into a prime (29313198247) 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 63 ways as a sum of consecutive naturals, for example, 33196839 + ... + 33197721.

It is an arithmetic number, because the mean of its divisors is an integer number (261975168).

Almost surely, 2^29313198240 is an apocalyptic number.

29313198240 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 29313198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50299232256).

29313198240 is an abundant number, since it is smaller than the sum of its proper divisors (71285266272).

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

29313198240 is a wasteful number, since it uses less digits than its factorization.

29313198240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 29313198240 in words is "twenty-nine billion, three hundred thirteen million, one hundred ninety-eight thousand, two hundred forty".