42381830400 has 864 divisors, whose sum is σ = 174410170368. Its totient is φ = 8825241600.

The previous prime is 42381830357. The next prime is 42381830443. The reversal of 42381830400 is 403818324.

It is an interprime number because it is at equal distance from previous prime (42381830357) and next prime (42381830443).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221894305 + ... + 221894495.

Almost surely, 2^42381830400 is an apocalyptic number.

42381830400 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 42381830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87205085184).

42381830400 is an abundant number, since it is smaller than the sum of its proper divisors (132028339968).

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

42381830400 is a wasteful number, since it uses less digits than its factorization.

42381830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 42381830400 in words is "forty-two billion, three hundred eighty-one million, eight hundred thirty thousand, four hundred".