4159888320 has 336 divisors, whose sum is σ = 15477792768. Its totient is φ = 943810560.

The previous prime is 4159888309. The next prime is 4159888333. The reversal of 4159888320 is 238889514.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4159888320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8984409 + ... + 8984871.

Almost surely, 2^4159888320 is an apocalyptic number.

4159888320 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 4159888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7738896384).

4159888320 is an abundant number, since it is smaller than the sum of its proper divisors (11317904448).

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

4159888320 is a wasteful number, since it uses less digits than its factorization.

4159888320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 4159888320 is about 64497.1962181303. The cubic root of 4159888320 is about 1608.2759111705.

The spelling of 4159888320 in words is "four billion, one hundred fifty-nine million, eight hundred eighty-eight thousand, three hundred twenty".