42630255360 has 1296 divisors, whose sum is σ = 196946987328. Its totient is φ = 8304721920.

The previous prime is 42630255347. The next prime is 42630255383. The reversal of 42630255360 is 6355203624.

42630255360 is a `hidden beast` number, since 42 + 6 + 3 + 0 + 2 + 553 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165876352 + ... + 165876608.

It is an arithmetic number, because the mean of its divisors is an integer number (151965268).

Almost surely, 2^42630255360 is an apocalyptic number.

42630255360 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 42630255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98473493664).

42630255360 is an abundant number, since it is smaller than the sum of its proper divisors (154316731968).

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

42630255360 is a wasteful number, since it uses less digits than its factorization.

42630255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 42630255360 its reverse (6355203624), we get a palindrome (48985458984).

The spelling of 42630255360 in words is "forty-two billion, six hundred thirty million, two hundred fifty-five thousand, three hundred sixty".