4059581040 has 120 divisors (see below), whose sum is σ = 14351023440. Its totient is φ = 1025574912.

The previous prime is 4059581017. The next prime is 4059581069. The reversal of 4059581040 is 401859504.

4059581040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4059580986 and 4059581004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134697 + ... + 162056.

It is an arithmetic number, because the mean of its divisors is an integer number (119591862).

Almost surely, 2^4059581040 is an apocalyptic number.

4059581040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4059581040 is an abundant number, since it is smaller than the sum of its proper divisors (10291442400).

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

4059581040 is a wasteful number, since it uses less digits than its factorization.

4059581040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296791 (or 296782 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4059581040 is about 63714.8415991125. The cubic root of 4059581040 is about 1595.2438236675.

The spelling of 4059581040 in words is "four billion, fifty-nine million, five hundred eighty-one thousand, forty".