1418795441424 has 315 divisors, whose sum is σ = 4240227486079. Its totient is φ = 459681661440.

The previous prime is 1418795441359. The next prime is 1418795441471. The reversal of 1418795441424 is 4241445978141.

The square root of 1418795441424 is 1191132.

It is a perfect power (a square), and thus also a powerful number.

1418795441424 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 79 + 544 + 1 + 4 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1115414801424 + 303380640000 = 1056132^2 + 550800^2 .

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

It is a Duffinian number.

Its product of digits (5160960) is a multiple of the sum of its prime divisors (315).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5274332362 + ... + 5274332630.

Almost surely, 2^{1418795441424} is an apocalyptic number.

1418795441424 is the 1191132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1418795441424

1418795441424 is an abundant number, since it is smaller than the sum of its proper divisors (2821432044655).

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

1418795441424 is an frugal number, since it uses more digits than its factorization.

1418795441424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 315 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 1418795441424 in words is "one trillion, four hundred eighteen billion, seven hundred ninety-five million, four hundred forty-one thousand, four hundred twenty-four".