30042001440 has 384 divisors, whose sum is σ = 117155082240. Its totient is φ = 7127424000.

The previous prime is 30042001439. The next prime is 30042001481. The reversal of 30042001440 is 4410024003.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2226715 + ... + 2240165.

It is an arithmetic number, because the mean of its divisors is an integer number (305091360).

Almost surely, 2^30042001440 is an apocalyptic number.

30042001440 is a gapful number since it is divisible by the number (30) 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 30042001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58577541120).

30042001440 is an abundant number, since it is smaller than the sum of its proper divisors (87113080800).

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

30042001440 is a wasteful number, since it uses less digits than its factorization.

30042001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13533 (or 13519 counting only the distinct ones).

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

Adding to 30042001440 its reverse (4410024003), we get a palindrome (34452025443).

The spelling of 30042001440 in words is "thirty billion, forty-two million, one thousand, four hundred forty".