42280656656040 has 512 divisors, whose sum is σ = 157732004505600. Its totient is φ = 9987629598720.

The previous prime is 42280656656039. The next prime is 42280656656047. The reversal of 42280656656040 is 4065665608224.

42280656656040 is a `hidden beast` number, since 4 + 2 + 28 + 0 + 6 + 5 + 6 + 6 + 5 + 604 + 0 = 666.

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 (42280656656047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71687227 + ... + 72274613.

It is an arithmetic number, because the mean of its divisors is an integer number (308070321300).

Almost surely, 2^{42280656656040} is an apocalyptic number.

42280656656040 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 42280656656040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78866002252800).

42280656656040 is an abundant number, since it is smaller than the sum of its proper divisors (115451347849560).

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

42280656656040 is a wasteful number, since it uses less digits than its factorization.

42280656656040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587574 (or 587564 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

It can be divided in two parts, 42 and 280656656040, that added together give a palindrome (280656656082).

The spelling of 42280656656040 in words is "forty-two trillion, two hundred eighty billion, six hundred fifty-six million, six hundred fifty-six thousand, forty".