29112434640 has 160 divisors (see below), whose sum is σ = 100916040960. Its totient is φ = 7713778176.

The previous prime is 29112434639. The next prime is 29112434693. The reversal of 29112434640 is 4643421192.

29112434640 is a `hidden beast` number, since 2 + 9 + 1 + 1 + 2 + 4 + 3 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29112434595 and 29112434604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296197 + ... + 382043.

It is an arithmetic number, because the mean of its divisors is an integer number (630725256).

Almost surely, 2^29112434640 is an apocalyptic number.

29112434640 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 29112434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50458020480).

29112434640 is an abundant number, since it is smaller than the sum of its proper divisors (71803606320).

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

29112434640 is a wasteful number, since it uses less digits than its factorization.

29112434640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86026 (or 86014 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 29112434640 in words is "twenty-nine billion, one hundred twelve million, four hundred thirty-four thousand, six hundred forty".