4159554960 has 320 divisors, whose sum is σ = 14615064576. Its totient is φ = 969830400.

The previous prime is 4159554953. The next prime is 4159554961. The reversal of 4159554960 is 694559514.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4159554961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8983689 + ... + 8984151.

Almost surely, 2^4159554960 is an apocalyptic number.

4159554960 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 4159554960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7307532288).

4159554960 is an abundant number, since it is smaller than the sum of its proper divisors (10455509616).

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

4159554960 is a wasteful number, since it uses less digits than its factorization.

4159554960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 4159554960 is about 64494.6118679692. The cubic root of 4159554960 is about 1608.2329493457.

The spelling of 4159554960 in words is "four billion, one hundred fifty-nine million, five hundred fifty-four thousand, nine hundred sixty".