42003001440 has 192 divisors, whose sum is σ = 152080286400. Its totient is φ = 10814533632.

The previous prime is 42003001429. The next prime is 42003001451. The reversal of 42003001440 is 4410030024.

It is an interprime number because it is at equal distance from previous prime (42003001429) and next prime (42003001451).

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 31 ways as a sum of consecutive naturals, for example, 42357 + ... + 292916.

It is an arithmetic number, because the mean of its divisors is an integer number (792084825).

Almost surely, 2^42003001440 is an apocalyptic number.

42003001440 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 42003001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76040143200).

42003001440 is an abundant number, since it is smaller than the sum of its proper divisors (110077284960).

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

42003001440 is a wasteful number, since it uses less digits than its factorization.

42003001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335326 (or 335312 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42003001440 its reverse (4410030024), we get a palindrome (46413031464).

The spelling of 42003001440 in words is "forty-two billion, three million, one thousand, four hundred forty".