42393144000 has 224 divisors, whose sum is σ = 141905589696. Its totient is φ = 11149516800.

The previous prime is 42393143987. The next prime is 42393144049. The reversal of 42393144000 is 44139324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1739902 + ... + 1764098.

Almost surely, 2^42393144000 is an apocalyptic number.

42393144000 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 42393144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70952794848).

42393144000 is an abundant number, since it is smaller than the sum of its proper divisors (99512445696).

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

42393144000 is a wasteful number, since it uses less digits than its factorization.

42393144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24300 (or 24280 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 42393144000 in words is "forty-two billion, three hundred ninety-three million, one hundred forty-four thousand".