2414022400401 has 8 divisors (see below), whose sum is σ = 3219356528064. Its totient is φ = 1609018269840.

The previous prime is 2414022400399. The next prime is 2414022400421. The reversal of 2414022400401 is 1040042204142.

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

It is not a de Polignac number, because 2414022400401 - 2¹ = 2414022400399 is a prime.

It is a super-3 number, since 3×2414022400401³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2414022400421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82482205 + ... + 82511466.

It is an arithmetic number, because the mean of its divisors is an integer number (402419566008).

Almost surely, 2^{2414022400401} is an apocalyptic number.

It is an amenable number.

2414022400401 is a deficient number, since it is larger than the sum of its proper divisors (805334127663).

2414022400401 is a wasteful number, since it uses less digits than its factorization.

2414022400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164998551.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2414022400401 its reverse (1040042204142), we get a palindrome (3454064604543).

The spelling of 2414022400401 in words is "two trillion, four hundred fourteen billion, twenty-two million, four hundred thousand, four hundred one".