29242066140 has 432 divisors, whose sum is σ = 109995604992. Its totient is φ = 6255228672.

The previous prime is 29242066127. The next prime is 29242066153. The reversal of 29242066140 is 4166024292.

29242066140 is a `hidden beast` number, since 2 + 92 + 420 + 6 + 6 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (29242066127) and next prime (29242066153).

It is a super-2 number, since 2×29242066140² (a number of 22 digits) contains 22 as substring.

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 = 29242066095 and 29242066104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9532887 + ... + 9535953.

It is an arithmetic number, because the mean of its divisors is an integer number (254619456).

Almost surely, 2^29242066140 is an apocalyptic number.

29242066140 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 29242066140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54997802496).

29242066140 is an abundant number, since it is smaller than the sum of its proper divisors (80753538852).

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

29242066140 is a wasteful number, since it uses less digits than its factorization.

29242066140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3154 counting only the distinct ones).

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

The spelling of 29242066140 in words is "twenty-nine billion, two hundred forty-two million, sixty-six thousand, one hundred forty".