42978754560 has 720 divisors, whose sum is σ = 165674146176. Its totient is φ = 9479651328.

The previous prime is 42978754537. The next prime is 42978754591. The reversal of 42978754560 is 6545787924.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42978754560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517816279 + ... + 517816361.

Almost surely, 2^42978754560 is an apocalyptic number.

42978754560 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 42978754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82837073088).

42978754560 is an abundant number, since it is smaller than the sum of its proper divisors (122695391616).

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

42978754560 is an equidigital number, since it uses as much as digits as its factorization.

42978754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 42978754560 in words is "forty-two billion, nine hundred seventy-eight million, seven hundred fifty-four thousand, five hundred sixty".