3000000061440 has 672 divisors, whose sum is σ = 11015560123776. Its totient is φ = 753653514240.

The previous prime is 3000000061423. The next prime is 3000000061453. The reversal of 3000000061440 is 441600000003.

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

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 47 ways as a sum of consecutive naturals, for example, 568071600 + ... + 568076880.

Almost surely, 2^{3000000061440} is an apocalyptic number.

3000000061440 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 3000000061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507780061888).

3000000061440 is an abundant number, since it is smaller than the sum of its proper divisors (8015560062336).

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

3000000061440 is a wasteful number, since it uses less digits than its factorization.

3000000061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5381 counting only the distinct ones).

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

Adding to 3000000061440 its reverse (441600000003), we get a palindrome (3441600061443).

The spelling of 3000000061440 in words is "three trillion, sixty-one thousand, four hundred forty".