29382415040 has 224 divisors, whose sum is σ = 79144611840. Its totient is φ = 10293350400.

The previous prime is 29382415039. The next prime is 29382415067. The reversal of 29382415040 is 4051428392.

It is a junction number, because it is equal to n+sod(n) for n = 29382414985 and 29382415003.

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, 31971701 + ... + 31972619.

It is an arithmetic number, because the mean of its divisors is an integer number (353324160).

Almost surely, 2^29382415040 is an apocalyptic number.

29382415040 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 29382415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39572305920).

29382415040 is an abundant number, since it is smaller than the sum of its proper divisors (49762196800).

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

29382415040 is a wasteful number, since it uses less digits than its factorization.

29382415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 29382415040 in words is "twenty-nine billion, three hundred eighty-two million, four hundred fifteen thousand, forty".