42195056640 has 768 divisors, whose sum is σ = 157939891200. Its totient is φ = 9515827200.

The previous prime is 42195056633. The next prime is 42195056671. The reversal of 42195056640 is 4665059124.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 42195056592 and 42195056601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474101716 + ... + 474101804.

It is an arithmetic number, because the mean of its divisors is an integer number (205650900).

Almost surely, 2^42195056640 is an apocalyptic number.

42195056640 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 42195056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78969945600).

42195056640 is an abundant number, since it is smaller than the sum of its proper divisors (115744834560).

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

42195056640 is a wasteful number, since it uses less digits than its factorization.

42195056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 42195056640 in words is "forty-two billion, one hundred ninety-five million, fifty-six thousand, six hundred forty".