42646528000 has 112 divisors (see below), whose sum is σ = 106441792704. Its totient is φ = 17058201600.

The previous prime is 42646527967. The next prime is 42646528007. The reversal of 42646528000 is 82564624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42646528007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003177 + ... + 1044823.

Almost surely, 2^42646528000 is an apocalyptic number.

42646528000 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 42646528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53220896352).

42646528000 is an abundant number, since it is smaller than the sum of its proper divisors (63795264704).

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

42646528000 is an frugal number, since it uses more digits than its factorization.

42646528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41688 (or 41654 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 42646528000 in words is "forty-two billion, six hundred forty-six million, five hundred twenty-eight thousand".