4181378804964 has 243 divisors, whose sum is σ = 11117606226363. Its totient is φ = 1325057616000.

The previous prime is 4181378804929. The next prime is 4181378805031. The reversal of 4181378804964 is 4694088731814.

The square root of 4181378804964 is 2044842.

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

4181378804964 is a `hidden beast` number, since 4 + 1 + 8 + 137 + 8 + 8 + 0 + 496 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92118320100 + 4089260484864 = 303510^2 + 2022192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27691250289 + ... + 27691250439.

Almost surely, 2^{4181378804964} is an apocalyptic number.

4181378804964 is the 2044842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4181378804964

4181378804964 is an abundant number, since it is smaller than the sum of its proper divisors (6936227421399).

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

4181378804964 is a wasteful number, since it uses less digits than its factorization.

4181378804964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 4181378804964 in words is "four trillion, one hundred eighty-one billion, three hundred seventy-eight million, eight hundred four thousand, nine hundred sixty-four".