42960432000 has 128 divisors (see below), whose sum is σ = 142413991200. Its totient is φ = 11456102400.

The previous prime is 42960431977. The next prime is 42960432001. The reversal of 42960432000 is 23406924.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42960432001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399505 + ... + 495504.

Almost surely, 2^42960432000 is an apocalyptic number.

42960432000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42960432000 is an abundant number, since it is smaller than the sum of its proper divisors (99453559200).

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

42960432000 is an equidigital number, since it uses as much as digits as its factorization.

42960432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895041 (or 895019 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 42960432000 its reverse (23406924), we get a palindrome (42983838924).

The spelling of 42960432000 in words is "forty-two billion, nine hundred sixty million, four hundred thirty-two thousand".