42380397600 has 288 divisors, whose sum is σ = 144134774784. Its totient is φ = 10803532800.

The previous prime is 42380397593. The next prime is 42380397641. The reversal of 42380397600 is 679308324.

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, 6171769 + ... + 6178631.

It is an arithmetic number, because the mean of its divisors is an integer number (500467968).

Almost surely, 2^42380397600 is an apocalyptic number.

42380397600 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 42380397600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72067387392).

42380397600 is an abundant number, since it is smaller than the sum of its proper divisors (101754377184).

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

42380397600 is a wasteful number, since it uses less digits than its factorization.

42380397600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 42380397600 in words is "forty-two billion, three hundred eighty million, three hundred ninety-seven thousand, six hundred".