42009846480 has 800 divisors, whose sum is σ = 178195666176. Its totient is φ = 8953970688.

The previous prime is 42009846443. The next prime is 42009846491. The reversal of 42009846480 is 8464890024.

42009846480 is a `hidden beast` number, since 4 + 20 + 0 + 98 + 464 + 80 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121065667 + ... + 121066013.

Almost surely, 2^42009846480 is an apocalyptic number.

42009846480 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 42009846480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89097833088).

42009846480 is an abundant number, since it is smaller than the sum of its proper divisors (136185819696).

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

42009846480 is a wasteful number, since it uses less digits than its factorization.

42009846480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 42009846480 in words is "forty-two billion, nine million, eight hundred forty-six thousand, four hundred eighty".