4511214427860 has 576 divisors, whose sum is σ = 17182018473984. Its totient is φ = 934281216000.

The previous prime is 4511214427801. The next prime is 4511214427919. The reversal of 4511214427860 is 687244121154.

4511214427860 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 214 + 427 + 8 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4511214427801) and next prime (4511214427919).

It is a super-2 number, since 2×4511214427860² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128138260 + ... + 128173460.

It is an arithmetic number, because the mean of its divisors is an integer number (29829893184).

Almost surely, 2^{4511214427860} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4511214427860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591009236992).

4511214427860 is an abundant number, since it is smaller than the sum of its proper divisors (12670804046124).

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

4511214427860 is a wasteful number, since it uses less digits than its factorization.

4511214427860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35464 (or 35459 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4511214427860 in words is "four trillion, five hundred eleven billion, two hundred fourteen million, four hundred twenty-seven thousand, eight hundred sixty".