4628607589440 has 448 divisors, whose sum is σ = 17742578688000. Its totient is φ = 1131610798080.

The previous prime is 4628607589439. The next prime is 4628607589447. The reversal of 4628607589440 is 449857068264.

4628607589440 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 6 + 0 + 7 + 589 + 4 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (4628607589447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4634191 + ... + 5543729.

Almost surely, 2^{4628607589440} is an apocalyptic number.

4628607589440 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 4628607589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871289344000).

4628607589440 is an abundant number, since it is smaller than the sum of its proper divisors (13113971098560).

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

4628607589440 is a wasteful number, since it uses less digits than its factorization.

4628607589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909615 (or 909599 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4628607589440 in words is "four trillion, six hundred twenty-eight billion, six hundred seven million, five hundred eighty-nine thousand, four hundred forty".