414200332153 has 2 divisors, whose sum is σ = 414200332154. Its totient is φ = 414200332152.

The previous prime is 414200332121. The next prime is 414200332163. The reversal of 414200332153 is 351233002414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 410865616144 + 3334716009 = 640988^2 + 57747^2 .

It is a cyclic number.

It is not a de Polignac number, because 414200332153 - 2⁵ = 414200332121 is a prime.

It is not a weakly prime, because it can be changed into another prime (414200332163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207100166076 + 207100166077.

It is an arithmetic number, because the mean of its divisors is an integer number (207100166077).

Almost surely, 2^414200332153 is an apocalyptic number.

It is an amenable number.

414200332153 is a deficient number, since it is larger than the sum of its proper divisors (1).

414200332153 is an equidigital number, since it uses as much as digits as its factorization.

414200332153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 414200332153 its reverse (351233002414), we get a palindrome (765433334567).

The spelling of 414200332153 in words is "four hundred fourteen billion, two hundred million, three hundred thirty-two thousand, one hundred fifty-three".