42860575457280 has 1584 divisors, whose sum is σ = 178312906755360. Its totient is φ = 9686627647488.

The previous prime is 42860575457279. The next prime is 42860575457303. The reversal of 42860575457280 is 8275457506824.

42860575457280 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 0 + 5 + 7 + 54 + 572 + 8 + 0 = 666.

It is a super-2 number, since 2×42860575457280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481579499476 + ... + 481579499564.

Almost surely, 2^{42860575457280} is an apocalyptic number.

42860575457280 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 42860575457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89156453377680).

42860575457280 is an abundant number, since it is smaller than the sum of its proper divisors (135452331298080).

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

42860575457280 is an frugal number, since it uses more digits than its factorization.

42860575457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 42860575457280 in words is "forty-two trillion, eight hundred sixty billion, five hundred seventy-five million, four hundred fifty-seven thousand, two hundred eighty".