42684857280 has 1344 divisors, whose sum is σ = 179918807040. Its totient is φ = 9488793600.

The previous prime is 42684857233. The next prime is 42684857297. The reversal of 42684857280 is 8275848624.

42684857280 is a `hidden beast` number, since 4 + 2 + 68 + 4 + 8 + 572 + 8 + 0 = 666.

42684857280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42684857280³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1041094060 + ... + 1041094100.

It is an arithmetic number, because the mean of its divisors is an integer number (133868160).

Almost surely, 2^42684857280 is an apocalyptic number.

42684857280 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 42684857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89959403520).

42684857280 is an abundant number, since it is smaller than the sum of its proper divisors (137233949760).

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

42684857280 is a wasteful number, since it uses less digits than its factorization.

42684857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 42684857280 in words is "forty-two billion, six hundred eighty-four million, eight hundred fifty-seven thousand, two hundred eighty".