414219672801 has 105 divisors (see below), whose sum is σ = 686631054355. Its totient is φ = 249767899920.

The previous prime is 414219672749. The next prime is 414219672851. The reversal of 414219672801 is 108276912414.

The square root of 414219672801 is 643599.

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

414219672801 is a `hidden beast` number, since 414 + 2 + 1 + 96 + 72 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 405851814225 + 8367858576 = 637065^2 + 91476^2 .

It is a de Polignac number, because none of the positive numbers 2^k-414219672801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414219672851) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2102637835 + ... + 2102638031.

Almost surely, 2^414219672801 is an apocalyptic number.

414219672801 is the 643599-th square number.

414219672801 is the 321800-th centered octagonal number.

It is an amenable number.

414219672801 is a deficient number, since it is larger than the sum of its proper divisors (272411381554).

414219672801 is an frugal number, since it uses more digits than its factorization.

414219672801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 414219672801 in words is "four hundred fourteen billion, two hundred nineteen million, six hundred seventy-two thousand, eight hundred one".