42781332314880 has 720 divisors, whose sum is σ = 155005756345440. Its totient is φ = 11265329332224.

The previous prime is 42781332314801. The next prime is 42781332314881. The reversal of 42781332314880 is 8841323318724.

It is a happy number.

42781332314880 is a `hidden beast` number, since 4 + 2 + 7 + 8 + 133 + 23 + 1 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (42781332314881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4696595766 + ... + 4696604874.

It is an arithmetic number, because the mean of its divisors is an integer number (215285772702).

Almost surely, 2^{42781332314880} is an apocalyptic number.

42781332314880 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 42781332314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77502878172720).

42781332314880 is an abundant number, since it is smaller than the sum of its proper divisors (112224424030560).

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

42781332314880 is an equidigital number, since it uses as much as digits as its factorization.

42781332314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9706 (or 9683 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 42781332314880 in words is "forty-two trillion, seven hundred eighty-one billion, three hundred thirty-two million, three hundred fourteen thousand, eight hundred eighty".