4059684360000 has 1260 divisors, whose sum is σ = 15617588272000. Its totient is φ = 1045560960000.

The previous prime is 4059684359981. The next prime is 4059684360029. The reversal of 4059684360000 is 634869504.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8135639751 + ... + 8135640249.

Almost surely, 2^{4059684360000} is an apocalyptic number.

4059684360000 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 4059684360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808794136000).

4059684360000 is an abundant number, since it is smaller than the sum of its proper divisors (11557903912000).

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

4059684360000 is an frugal number, since it uses more digits than its factorization.

4059684360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4059684360000 in words is "four trillion, fifty-nine billion, six hundred eighty-four million, three hundred sixty thousand".