4205959455984 has 240 divisors, whose sum is σ = 12962946318336. Its totient is φ = 1167225776640.

The previous prime is 4205959455977. The next prime is 4205959455989. The reversal of 4205959455984 is 4895549595024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205959455989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9369697 + ... + 9808319.

Almost surely, 2^{4205959455984} is an apocalyptic number.

4205959455984 is a gapful number since it is divisible by the number (44) 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 4205959455984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481473159168).

4205959455984 is an abundant number, since it is smaller than the sum of its proper divisors (8756986862352).

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

4205959455984 is a wasteful number, since it uses less digits than its factorization.

4205959455984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438796 (or 438779 counting only the distinct ones).

The product of its (nonzero) digits is 466560000, while the sum is 69.

The spelling of 4205959455984 in words is "four trillion, two hundred five billion, nine hundred fifty-nine million, four hundred fifty-five thousand, nine hundred eighty-four".