42380694720 has 896 divisors, whose sum is σ = 193765017600. Its totient is φ = 8468250624.

The previous prime is 42380694689. The next prime is 42380694773. The reversal of 42380694720 is 2749608324.

42380694720 is a `hidden beast` number, since 42 + 3 + 80 + 69 + 472 + 0 = 666.

It is a super-2 number, since 2×42380694720² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14937142 + ... + 14939978.

It is an arithmetic number, because the mean of its divisors is an integer number (216255600).

Almost surely, 2^42380694720 is an apocalyptic number.

42380694720 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 42380694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96882508800).

42380694720 is an abundant number, since it is smaller than the sum of its proper divisors (151384322880).

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

42380694720 is a wasteful number, since it uses less digits than its factorization.

42380694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42380694720 in words is "forty-two billion, three hundred eighty million, six hundred ninety-four thousand, seven hundred twenty".