4205638361088 has 140 divisors (see below), whose sum is σ = 12564228698010. Its totient is φ = 1401879232512.

The previous prime is 4205638361081. The next prime is 4205638361117. The reversal of 4205638361088 is 8801638365024.

4205638361088 is a `hidden beast` number, since 42 + 0 + 563 + 8 + 36 + 1 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2900999245824 + 1304639115264 = 1703232^2 + 1142208^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4205638361081) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2505483 + ... + 3832586.

Almost surely, 2^{4205638361088} is an apocalyptic number.

4205638361088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4205638361088 is an abundant number, since it is smaller than the sum of its proper divisors (8358590336922).

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

4205638361088 is an frugal number, since it uses more digits than its factorization.

4205638361088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338107 (or 6338074 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4205638361088 in words is "four trillion, two hundred five billion, six hundred thirty-eight million, three hundred sixty-one thousand, eighty-eight".