414742440025 has 27 divisors (see below), whose sum is σ = 542852705631. Its totient is φ = 314284744080.

The previous prime is 414742439971. The next prime is 414742440031. The reversal of 414742440025 is 520044247414.

The square root of 414742440025 is 644005.

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

It can be written as a sum of positive squares in only one way, i.e., 149307278409 + 265435161616 = 386403^2 + 515204^2 .

It is not a de Polignac number, because 414742440025 - 2⁷ = 414742439897 is a prime.

It is a super-2 number, since 2×414742440025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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, 61177086 + ... + 61183864.

Almost surely, 2^414742440025 is an apocalyptic number.

414742440025 is the 644005-th square number.

414742440025 is the 322003-rd centered octagonal number.

It is an amenable number.

414742440025 is a deficient number, since it is larger than the sum of its proper divisors (128110265606).

414742440025 is an frugal number, since it uses more digits than its factorization.

414742440025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13606 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 37.

Adding to 414742440025 its reverse (520044247414), we get a palindrome (934786687439).

The spelling of 414742440025 in words is "four hundred fourteen billion, seven hundred forty-two million, four hundred forty thousand, twenty-five".