1014414401 has 16 divisors (see below), whose sum is σ = 1362012288. Its totient is φ = 729648000.

The previous prime is 1014414397. The next prime is 1014414409. The reversal of 1014414401 is 1044144101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1014414401 - 2² = 1014414397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1014414409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505700 + ... + 507701.

It is an arithmetic number, because the mean of its divisors is an integer number (85125768).

Almost surely, 2^1014414401 is an apocalyptic number.

1014414401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1014414401 is a deficient number, since it is larger than the sum of its proper divisors (347597887).

1014414401 is a wasteful number, since it uses less digits than its factorization.

1014414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013432.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1014414401 is about 31849.8728568891. The cubic root of 1014414401 is about 1004.7818973427.

Adding to 1014414401 its reverse (1044144101), we get a palindrome (2058558502).

The spelling of 1014414401 in words is "one billion, fourteen million, four hundred fourteen thousand, four hundred one".