29449665378840 has 1152 divisors, whose sum is σ = 110191397803200. Its totient is φ = 6276511825920.

The previous prime is 29449665378817. The next prime is 29449665378841. The reversal of 29449665378840 is 4887356694492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29449665378841) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 57857888506 + ... + 57857889014.

Almost surely, 2^{29449665378840} is an apocalyptic number.

29449665378840 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 29449665378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55095698901600).

29449665378840 is an abundant number, since it is smaller than the sum of its proper divisors (80741732424360).

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

29449665378840 is a wasteful number, since it uses less digits than its factorization.

29449665378840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 75.

The spelling of 29449665378840 in words is "twenty-nine trillion, four hundred forty-nine billion, six hundred sixty-five million, three hundred seventy-eight thousand, eight hundred forty".