42278650045632 has 672 divisors, whose sum is σ = 169860825469440. Its totient is φ = 10136736368640.

The previous prime is 42278650045603. The next prime is 42278650045669. The reversal of 42278650045632 is 23654005687224.

42278650045632 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 86 + 500 + 4 + 56 + 3 + 2 = 666.

42278650045632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10362213 + ... + 13853979.

It is an arithmetic number, because the mean of its divisors is an integer number (252769085520).

Almost surely, 2^{42278650045632} is an apocalyptic number.

42278650045632 is a gapful number since it is divisible by the number (42) 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 42278650045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84930412734720).

42278650045632 is an abundant number, since it is smaller than the sum of its proper divisors (127582175423808).

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

42278650045632 is a wasteful number, since it uses less digits than its factorization.

42278650045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491826 (or 3491803 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 42278650045632 in words is "forty-two trillion, two hundred seventy-eight billion, six hundred fifty million, forty-five thousand, six hundred thirty-two".