4059826441632 has 288 divisors, whose sum is σ = 13167991117008. Its totient is φ = 1175392124928.

The previous prime is 4059826441621. The next prime is 4059826441787. The reversal of 4059826441632 is 2361446289504.

4059826441632 is a `hidden beast` number, since 4 + 0 + 598 + 2 + 6 + 4 + 4 + 16 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 981359684496 + 3078466757136 = 990636^2 + 1754556^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 392893938 + ... + 392904270.

Almost surely, 2^{4059826441632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4059826441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583995558504).

4059826441632 is an abundant number, since it is smaller than the sum of its proper divisors (9108164675376).

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

4059826441632 is a wasteful number, since it uses less digits than its factorization.

4059826441632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16552 (or 16541 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 4059826441632 in words is "four trillion, fifty-nine billion, eight hundred twenty-six million, four hundred forty-one thousand, six hundred thirty-two".