4129678080 has 864 divisors, whose sum is σ = 17356405248. Its totient is φ = 928972800.

The previous prime is 4129678057. The next prime is 4129678087. The reversal of 4129678080 is 808769214.

4129678080 is a `hidden beast` number, since 412 + 96 + 78 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (4129678087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58164445 + ... + 58164515.

It is an arithmetic number, because the mean of its divisors is an integer number (20088432).

Almost surely, 2^4129678080 is an apocalyptic number.

4129678080 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 4129678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678202624).

4129678080 is an abundant number, since it is smaller than the sum of its proper divisors (13226727168).

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

4129678080 is a wasteful number, since it uses less digits than its factorization.

4129678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4129678080 is about 64262.5713771243. The cubic root of 4129678080 is about 1604.3732027127.

The spelling of 4129678080 in words is "four billion, one hundred twenty-nine million, six hundred seventy-eight thousand, eighty".