42001440000 has 720 divisors, whose sum is σ = 154476951552. Its totient is φ = 10063872000.

The previous prime is 42001439999. The next prime is 42001440029. The reversal of 42001440000 is 4410024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 330719937 + ... + 330720063.

Almost surely, 2^42001440000 is an apocalyptic number.

42001440000 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 42001440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77238475776).

42001440000 is an abundant number, since it is smaller than the sum of its proper divisors (112475511552).

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

42001440000 is a wasteful number, since it uses less digits than its factorization.

42001440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 42001440000 its reverse (4410024), we get a palindrome (42005850024).

The spelling of 42001440000 in words is "forty-two billion, one million, four hundred forty thousand".