43642152960 has 192 divisors, whose sum is σ = 159567408000. Its totient is φ = 9975300096.

The previous prime is 43642152929. The next prime is 43642152971. The reversal of 43642152960 is 6925124634.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113566 + ... + 316514.

It is an arithmetic number, because the mean of its divisors is an integer number (831080250).

Almost surely, 2^43642152960 is an apocalyptic number.

43642152960 is a gapful number since it is divisible by the number (40) 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 43642152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79783704000).

43642152960 is an abundant number, since it is smaller than the sum of its proper divisors (115925255040).

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

43642152960 is a wasteful number, since it uses less digits than its factorization.

43642152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202986 (or 202966 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 43642152960 in words is "forty-three billion, six hundred forty-two million, one hundred fifty-two thousand, nine hundred sixty".