4101402636864 has 189 divisors, whose sum is σ = 12731755609209. Its totient is φ = 1261775623680.

The previous prime is 4101402636833. The next prime is 4101402636887. The reversal of 4101402636864 is 4686362041014.

The square root of 4101402636864 is 2025192.

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

4101402636864 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 4 + 0 + 2 + 636 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 606716366400 + 3494686270464 = 778920^2 + 1869408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 631856659 + ... + 631863149.

Almost surely, 2^{4101402636864} is an apocalyptic number.

4101402636864 is the 2025192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101402636864

4101402636864 is an abundant number, since it is smaller than the sum of its proper divisors (8630352972345).

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

4101402636864 is an frugal number, since it uses more digits than its factorization.

4101402636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13026 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Adding to 4101402636864 its reverse (4686362041014), we get a palindrome (8787764677878).

The spelling of 4101402636864 in words is "four trillion, one hundred one billion, four hundred two million, six hundred thirty-six thousand, eight hundred sixty-four".