414004421953 has 2 divisors, whose sum is σ = 414004421954. Its totient is φ = 414004421952.

The previous prime is 414004421899. The next prime is 414004422001. The reversal of 414004421953 is 359124400414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395072588304 + 18931833649 = 628548^2 + 137593^2 .

It is a cyclic number.

It is not a de Polignac number, because 414004421953 - 2²⁵ = 413970867521 is a prime.

It is a super-2 number, since 2×414004421953² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414004451953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207002210976 + 207002210977.

It is an arithmetic number, because the mean of its divisors is an integer number (207002210977).

Almost surely, 2^414004421953 is an apocalyptic number.

It is an amenable number.

414004421953 is a deficient number, since it is larger than the sum of its proper divisors (1).

414004421953 is an equidigital number, since it uses as much as digits as its factorization.

414004421953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 414004421953 in words is "four hundred fourteen billion, four million, four hundred twenty-one thousand, nine hundred fifty-three".