42646406000 has 160 divisors (see below), whose sum is σ = 112956270336. Its totient is φ = 15444000000.

The previous prime is 42646405987. The next prime is 42646406003. The reversal of 42646406000 is 60464624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42646406003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5518139 + ... + 5525861.

Almost surely, 2^42646406000 is an apocalyptic number.

42646406000 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 42646406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56478135168).

42646406000 is an abundant number, since it is smaller than the sum of its proper divisors (70309864336).

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

42646406000 is a wasteful number, since it uses less digits than its factorization.

42646406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 42646406000 in words is "forty-two billion, six hundred forty-six million, four hundred six thousand".