4512178440 has 512 divisors, whose sum is σ = 19408896000. Its totient is φ = 904780800.

The previous prime is 4512178421. The next prime is 4512178441. The reversal of 4512178440 is 448712154.

It is a happy number.

4512178440 is a `hidden beast` number, since 45 + 1 + 2 + 178 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4512178395 and 4512178404.

It is not an unprimeable number, because it can be changed into a prime (4512178441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2410705 + ... + 2412575.

It is an arithmetic number, because the mean of its divisors is an integer number (37908000).

Almost surely, 2^4512178440 is an apocalyptic number.

4512178440 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 4512178440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9704448000).

4512178440 is an abundant number, since it is smaller than the sum of its proper divisors (14896717560).

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

4512178440 is a wasteful number, since it uses less digits than its factorization.

4512178440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4512178440 is about 67172.7507252755. The cubic root of 4512178440 is about 1652.4516282074.

The spelling of 4512178440 in words is "four billion, five hundred twelve million, one hundred seventy-eight thousand, four hundred forty".