42640978786000 has 640 divisors, whose sum is σ = 121851378155520. Its totient is φ = 14130982656000.

The previous prime is 42640978785997. The next prime is 42640978786057. The reversal of 42640978786000 is 68787904624.

It is a self number, because there is not a number n which added to its sum of digits gives 42640978786000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28560601254 + ... + 28560602746.

It is an arithmetic number, because the mean of its divisors is an integer number (190392778368).

Almost surely, 2^{42640978786000} is an apocalyptic number.

42640978786000 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 42640978786000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60925689077760).

42640978786000 is an abundant number, since it is smaller than the sum of its proper divisors (79210399369520).

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

42640978786000 is a wasteful number, since it uses less digits than its factorization.

42640978786000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 61.

The spelling of 42640978786000 in words is "forty-two trillion, six hundred forty billion, nine hundred seventy-eight million, seven hundred eighty-six thousand".