4381618655232 has 1040 divisors, whose sum is σ = 16277689908480. Its totient is φ = 1143560208384.

The previous prime is 4381618655213. The next prime is 4381618655237. The reversal of 4381618655232 is 2325568161834.

4381618655232 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 6 + 1 + 86 + 552 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4381618655237) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3109735744 + ... + 3109737152.

It is an arithmetic number, because the mean of its divisors is an integer number (15651624912).

Almost surely, 2^{4381618655232} is an apocalyptic number.

4381618655232 is a gapful number since it is divisible by the number (42) 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 4381618655232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138844954240).

4381618655232 is an abundant number, since it is smaller than the sum of its proper divisors (11896071253248).

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

4381618655232 is a wasteful number, since it uses less digits than its factorization.

4381618655232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1537 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 4381618655232 in words is "four trillion, three hundred eighty-one billion, six hundred eighteen million, six hundred fifty-five thousand, two hundred thirty-two".