42642402576000 has 256 divisors, whose sum is σ = 142206055729920. Its totient is φ = 11303213568000.

The previous prime is 42642402575987. The next prime is 42642402576043. The reversal of 42642402576000 is 67520424624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5356170 + ... + 10675830.

It is an arithmetic number, because the mean of its divisors is an integer number (555492405195).

Almost surely, 2^{42642402576000} is an apocalyptic number.

42642402576000 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 42642402576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71103027864960).

42642402576000 is an abundant number, since it is smaller than the sum of its proper divisors (99563653153920).

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

42642402576000 is a wasteful number, since it uses less digits than its factorization.

42642402576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319860 (or 5319838 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 42642402576000 in words is "forty-two trillion, six hundred forty-two billion, four hundred two million, five hundred seventy-six thousand".