4059211968 has 252 divisors, whose sum is σ = 13817866192. Its totient is φ = 1158935040.

The previous prime is 4059211963. The next prime is 4059211979. The reversal of 4059211968 is 8691129504.

4059211968 is a `hidden beast` number, since 40 + 592 + 1 + 19 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (4059211963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2938638 + ... + 2940018.

Almost surely, 2^4059211968 is an apocalyptic number.

4059211968 is a gapful number since it is divisible by the number (48) 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 4059211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908933096).

4059211968 is an abundant number, since it is smaller than the sum of its proper divisors (9758654224).

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

4059211968 is an frugal number, since it uses more digits than its factorization.

4059211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 4059211968 is about 63711.9452536179. The cubic root of 4059211968 is about 1595.1954789684.

The spelling of 4059211968 in words is "four billion, fifty-nine million, two hundred eleven thousand, nine hundred sixty-eight".