29493640402944 has 96 divisors (see below), whose sum is σ = 79025637600000. Its totient is φ = 9781809979392.

The previous prime is 29493640402931. The next prime is 29493640402949. The reversal of 29493640402944 is 44920404639492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29493640402949) 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 7 ways as a sum of consecutive naturals, for example, 10838644 + ... + 13283955.

It is an arithmetic number, because the mean of its divisors is an integer number (823183725000).

Almost surely, 2^{29493640402944} is an apocalyptic number.

29493640402944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29493640402944 is an abundant number, since it is smaller than the sum of its proper divisors (49531997197056).

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

29493640402944 is a wasteful number, since it uses less digits than its factorization.

29493640402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24122823 (or 24122803 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 60.

The spelling of 29493640402944 in words is "twenty-nine trillion, four hundred ninety-three billion, six hundred forty million, four hundred two thousand, nine hundred forty-four".