42378478560 has 1152 divisors, whose sum is σ = 182434291200. Its totient is φ = 9123840000.

The previous prime is 42378478547. The next prime is 42378478567. The reversal of 42378478560 is 6587487324.

42378478560 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 8 + 4 + 78 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 42378478497 and 42378478506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42378478567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168838435 + ... + 168838685.

It is an arithmetic number, because the mean of its divisors is an integer number (158363100).

Almost surely, 2^42378478560 is an apocalyptic number.

42378478560 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 42378478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91217145600).

42378478560 is an abundant number, since it is smaller than the sum of its proper divisors (140055812640).

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

42378478560 is a wasteful number, since it uses less digits than its factorization.

42378478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 42378478560 in words is "forty-two billion, three hundred seventy-eight million, four hundred seventy-eight thousand, five hundred sixty".