29042040 has 128 divisors (see below), whose sum is σ = 92805120. Its totient is φ = 7257600.

The previous prime is 29042033. The next prime is 29042093. The reversal of 29042040 is 4024092.

It is a junction number, because it is equal to n+sod(n) for n = 29041998 and 29042016.

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, 137535 + ... + 137745.

It is an arithmetic number, because the mean of its divisors is an integer number (725040).

Almost surely, 2^29042040 is an apocalyptic number.

29042040 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 29042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46402560).

29042040 is an abundant number, since it is smaller than the sum of its proper divisors (63763080).

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

29042040 is a wasteful number, since it uses less digits than its factorization.

29042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 29042040 is about 5389.0667095518. The cubic root of 29042040 is about 307.3800708870.

The spelling of 29042040 in words is "twenty-nine million, forty-two thousand, forty".