29245033543440 has 960 divisors, whose sum is σ = 113096957045760. Its totient is φ = 6179778109440.

The previous prime is 29245033543433. The next prime is 29245033543477. The reversal of 29245033543440 is 4434533054292.

It is a happy number.

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 29245033543440.

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 191 ways as a sum of consecutive naturals, for example, 2687216239 + ... + 2687227121.

It is an arithmetic number, because the mean of its divisors is an integer number (117809330256).

Almost surely, 2^{29245033543440} is an apocalyptic number.

29245033543440 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 29245033543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548478522880).

29245033543440 is an abundant number, since it is smaller than the sum of its proper divisors (83851923502320).

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

29245033543440 is a wasteful number, since it uses less digits than its factorization.

29245033543440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11272 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 29245033543440 in words is "twenty-nine trillion, two hundred forty-five billion, thirty-three million, five hundred forty-three thousand, four hundred forty".