29125331040 has 768 divisors, whose sum is σ = 110649369600. Its totient is φ = 6372753408.

The previous prime is 29125331029. The next prime is 29125331041. The reversal of 29125331040 is 4013352192.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29125330989 and 29125331007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29125331041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147844222 + ... + 147844418.

It is an arithmetic number, because the mean of its divisors is an integer number (144074700).

Almost surely, 2^29125331040 is an apocalyptic number.

29125331040 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 29125331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55324684800).

29125331040 is an abundant number, since it is smaller than the sum of its proper divisors (81524038560).

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

29125331040 is a wasteful number, since it uses less digits than its factorization.

29125331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 29125331040 in words is "twenty-nine billion, one hundred twenty-five million, three hundred thirty-one thousand, forty".