29382155040 has 384 divisors, whose sum is σ = 109874257920. Its totient is φ = 6457651200.

The previous prime is 29382155039. The next prime is 29382155041. The reversal of 29382155040 is 4055128392.

It is an interprime number because it is at equal distance from previous prime (29382155039) and next prime (29382155041).

It is a super-2 number, since 2×29382155040² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29382155040.

It is not an unprimeable number, because it can be changed into a prime (29382155041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32252185 + ... + 32253095.

It is an arithmetic number, because the mean of its divisors is an integer number (286130880).

Almost surely, 2^29382155040 is an apocalyptic number.

29382155040 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 29382155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54937128960).

29382155040 is an abundant number, since it is smaller than the sum of its proper divisors (80492102880).

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

29382155040 is a wasteful number, since it uses less digits than its factorization.

29382155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 29382155040 in words is "twenty-nine billion, three hundred eighty-two million, one hundred fifty-five thousand, forty".