4560155401200 has 480 divisors, whose sum is σ = 16758230071296. Its totient is φ = 1038352711680.

The previous prime is 4560155401163. The next prime is 4560155401201. The reversal of 4560155401200 is 21045510654.

It is a super-2 number, since 2×4560155401200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560155401201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4134319849 + ... + 4134320951.

Almost surely, 2^{4560155401200} is an apocalyptic number.

4560155401200 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 4560155401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8379115035648).

4560155401200 is an abundant number, since it is smaller than the sum of its proper divisors (12198074670096).

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

4560155401200 is a wasteful number, since it uses less digits than its factorization.

4560155401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 4560155401200 in words is "four trillion, five hundred sixty billion, one hundred fifty-five million, four hundred one thousand, two hundred".