4645997544240 has 320 divisors, whose sum is σ = 17245569962880. Its totient is φ = 1142853857280.

The previous prime is 4645997544211. The next prime is 4645997544257. The reversal of 4645997544240 is 424457995464.

4645997544240 is a `hidden beast` number, since 4 + 6 + 45 + 9 + 9 + 7 + 544 + 2 + 40 = 666.

It is a super-3 number, since 3×4645997544240³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 63 ways as a sum of consecutive naturals, for example, 41868030 + ... + 41978850.

It is an arithmetic number, because the mean of its divisors is an integer number (53892406134).

Almost surely, 2^{4645997544240} is an apocalyptic number.

4645997544240 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 4645997544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622784981440).

4645997544240 is an abundant number, since it is smaller than the sum of its proper divisors (12599572418640).

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

4645997544240 is a wasteful number, since it uses less digits than its factorization.

4645997544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112349 (or 112337 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 4645997544240 in words is "four trillion, six hundred forty-five billion, nine hundred ninety-seven million, five hundred forty-four thousand, two hundred forty".