4059952960 has 112 divisors (see below), whose sum is σ = 11066434560. Its totient is φ = 1389772800.

The previous prime is 4059952951. The next prime is 4059952979. The reversal of 4059952960 is 692599504.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2079985 + ... + 2081935.

Almost surely, 2^4059952960 is an apocalyptic number.

4059952960 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 4059952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533217280).

4059952960 is an abundant number, since it is smaller than the sum of its proper divisors (7006481600).

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

4059952960 is a wasteful number, since it uses less digits than its factorization.

4059952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

The square root of 4059952960 is about 63717.7601615123. The cubic root of 4059952960 is about 1595.2925384618.

The spelling of 4059952960 in words is "four billion, fifty-nine million, nine hundred fifty-two thousand, nine hundred sixty".