42462636480 has 504 divisors, whose sum is σ = 166521207216. Its totient is φ = 10291691520.

The previous prime is 42462636479. The next prime is 42462636509. The reversal of 42462636480 is 8463626424.

42462636480 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 2 + 636 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9406704 + ... + 9411216.

Almost surely, 2^42462636480 is an apocalyptic number.

42462636480 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 42462636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83260603608).

42462636480 is an abundant number, since it is smaller than the sum of its proper divisors (124058570736).

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

42462636480 is a wasteful number, since it uses less digits than its factorization.

42462636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 42462636480 in words is "forty-two billion, four hundred sixty-two million, six hundred thirty-six thousand, four hundred eighty".