418021772238144 has 280 divisors, whose sum is σ = 1293342429677760. Its totient is φ = 133249426016256.

The previous prime is 418021772238139. The next prime is 418021772238199. The reversal of 418021772238144 is 441832277120814.

418021772238144 is a `hidden beast` number, since 4 + 1 + 8 + 0 + 217 + 7 + 2 + 2 + 381 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 485201547 + ... + 486062325.

It is an arithmetic number, because the mean of its divisors is an integer number (4619080105992).

Almost surely, 2^{418021772238144} 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 418021772238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646671214838880).

418021772238144 is an abundant number, since it is smaller than the sum of its proper divisors (875320657439616).

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

418021772238144 is a wasteful number, since it uses less digits than its factorization.

418021772238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864899 (or 864880 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 418021772238144 in words is "four hundred eighteen trillion, twenty-one billion, seven hundred seventy-two million, two hundred thirty-eight thousand, one hundred forty-four".