414551441201 has 8 divisors (see below), whose sum is σ = 426002094504. Its totient is φ = 403164580480.

The previous prime is 414551441197. The next prime is 414551441221. The reversal of 414551441201 is 102144155414.

It can be written as a sum of positive squares in 4 ways, for example, as 92522430625 + 322029010576 = 304175^2 + 567476^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414551441201 - 2² = 414551441197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414551441221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15934970 + ... + 15960963.

It is an arithmetic number, because the mean of its divisors is an integer number (53250261813).

Almost surely, 2^414551441201 is an apocalyptic number.

414551441201 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414551441201 is a deficient number, since it is larger than the sum of its proper divisors (11450653303).

414551441201 is a wasteful number, since it uses less digits than its factorization.

414551441201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31896291.

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 414551441201 its reverse (102144155414), we get a palindrome (516695596615).

The spelling of 414551441201 in words is "four hundred fourteen billion, five hundred fifty-one million, four hundred forty-one thousand, two hundred one".