42620289948000 has 288 divisors, whose sum is σ = 151463083367232. Its totient is φ = 11350106880000.

The previous prime is 42620289947959. The next prime is 42620289948007. The reversal of 42620289948000 is 84998202624.

42620289948000 is a `hidden beast` number, since 4 + 2 + 620 + 2 + 8 + 9 + 9 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42620289948007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25951300 + ... + 27544700.

It is an arithmetic number, because the mean of its divisors is an integer number (525913483914).

Almost surely, 2^{42620289948000} is an apocalyptic number.

42620289948000 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 42620289948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75731541683616).

42620289948000 is an abundant number, since it is smaller than the sum of its proper divisors (108842793419232).

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

42620289948000 is a wasteful number, since it uses less digits than its factorization.

42620289948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594175 (or 1594154 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 42620289948000 in words is "forty-two trillion, six hundred twenty billion, two hundred eighty-nine million, nine hundred forty-eight thousand".