1418408433468 has 240 divisors, whose sum is σ = 4232876266080. Its totient is φ = 410299416576.

The previous prime is 1418408433461. The next prime is 1418408433487. The reversal of 1418408433468 is 8643348048141.

1418408433468 is a `hidden beast` number, since 141 + 8 + 4 + 0 + 8 + 4 + 33 + 468 = 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 (1418408433461) 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, 66509455 + ... + 66530777.

It is an arithmetic number, because the mean of its divisors is an integer number (17636984442).

Almost surely, 2^{1418408433468} is an apocalyptic number.

1418408433468 is a gapful number since it is divisible by the number (18) 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 1418408433468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116438133040).

1418408433468 is an abundant number, since it is smaller than the sum of its proper divisors (2814467832612).

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

1418408433468 is a wasteful number, since it uses less digits than its factorization.

1418408433468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22298 (or 22287 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 1418408433468 in words is "one trillion, four hundred eighteen billion, four hundred eight million, four hundred thirty-three thousand, four hundred sixty-eight".