4059479483136 has 2160 divisors, whose sum is σ = 15986528712000. Its totient is φ = 1022891950080.

The previous prime is 4059479483117. The next prime is 4059479483167. The reversal of 4059479483136 is 6313849749504.

4059479483136 is a `hidden beast` number, since 4 + 0 + 59 + 4 + 79 + 483 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45612128980 + ... + 45612129068.

It is an arithmetic number, because the mean of its divisors is an integer number (7401170700).

Almost surely, 2^{4059479483136} 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 4059479483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7993264356000).

4059479483136 is an abundant number, since it is smaller than the sum of its proper divisors (11927049228864).

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

4059479483136 is an equidigital number, since it uses as much as digits as its factorization.

4059479483136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4059479483136 in words is "four trillion, fifty-nine billion, four hundred seventy-nine million, four hundred eighty-three thousand, one hundred thirty-six".