42430311000 has 640 divisors, whose sum is σ = 184942517760. Its totient is φ = 8815392000.

The previous prime is 42430310983. The next prime is 42430311089. The reversal of 42430311000 is 11303424.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6233599 + ... + 6240401.

It is an arithmetic number, because the mean of its divisors is an integer number (288972684).

Almost surely, 2^42430311000 is an apocalyptic number.

42430311000 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 42430311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92471258880).

42430311000 is an abundant number, since it is smaller than the sum of its proper divisors (142512206760).

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

42430311000 is a wasteful number, since it uses less digits than its factorization.

42430311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42430311000 its reverse (11303424), we get a palindrome (42441614424).

The spelling of 42430311000 in words is "forty-two billion, four hundred thirty million, three hundred eleven thousand".