42618481920 has 432 divisors, whose sum is σ = 169699420800. Its totient is φ = 9673261056.

The previous prime is 42618481903. The next prime is 42618481951. The reversal of 42618481920 is 2918481624.

42618481920 is a `hidden beast` number, since 4 + 2 + 618 + 4 + 8 + 1 + 9 + 20 = 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 47 ways as a sum of consecutive naturals, for example, 12013587 + ... + 12017133.

Almost surely, 2^42618481920 is an apocalyptic number.

42618481920 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 42618481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84849710400).

42618481920 is an abundant number, since it is smaller than the sum of its proper divisors (127080938880).

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

42618481920 is a wasteful number, since it uses less digits than its factorization.

42618481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 42618481920 in words is "forty-two billion, six hundred eighteen million, four hundred eighty-one thousand, nine hundred twenty".