43629601104 has 160 divisors (see below), whose sum is σ = 127214714880. Its totient is φ = 14313801600.

The previous prime is 43629601079. The next prime is 43629601111. The reversal of 43629601104 is 40110692634.

43629601104 is a `hidden beast` number, since 4 + 36 + 2 + 9 + 601 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29659089 + ... + 29660559.

It is an arithmetic number, because the mean of its divisors is an integer number (795091968).

Almost surely, 2^43629601104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43629601104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63607357440).

43629601104 is an abundant number, since it is smaller than the sum of its proper divisors (83585113776).

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

43629601104 is a wasteful number, since it uses less digits than its factorization.

43629601104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 43629601104 in words is "forty-three billion, six hundred twenty-nine million, six hundred one thousand, one hundred four".