29343920118240 has 1536 divisors, whose sum is σ = 117837152649216. Its totient is φ = 5974038282240.

The previous prime is 29343920118211. The next prime is 29343920118283. The reversal of 29343920118240 is 4281102934392.

It is a super-2 number, since 2×29343920118240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29343920118240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62834946487 + ... + 62834946953.

It is an arithmetic number, because the mean of its divisors is an integer number (76716896256).

Almost surely, 2^{29343920118240} is an apocalyptic number.

29343920118240 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 29343920118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58918576324608).

29343920118240 is an abundant number, since it is smaller than the sum of its proper divisors (88493232530976).

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

29343920118240 is a wasteful number, since it uses less digits than its factorization.

29343920118240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 29343920118240 in words is "twenty-nine trillion, three hundred forty-three billion, nine hundred twenty million, one hundred eighteen thousand, two hundred forty".