29409539040000 has 1080 divisors, whose sum is σ = 121343216266272. Its totient is φ = 6708510720000.

The previous prime is 29409539039999. The next prime is 29409539040001. The reversal of 29409539040000 is 4093590492.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29409539039999) and next prime (29409539040001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (29409539040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5453277304 + ... + 5453282696.

Almost surely, 2^{29409539040000} is an apocalyptic number.

29409539040000 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 29409539040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60671608133136).

29409539040000 is an abundant number, since it is smaller than the sum of its proper divisors (91933677226272).

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

29409539040000 is an equidigital number, since it uses as much as digits as its factorization.

29409539040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 29409539040000 in words is "twenty-nine trillion, four hundred nine billion, five hundred thirty-nine million, forty thousand".