2414114400144 has 80 divisors (see below), whose sum is σ = 6339542082624. Its totient is φ = 791407680000.

The previous prime is 2414114400109. The next prime is 2414114400149. The reversal of 2414114400144 is 4410044114142.

It is not an unprimeable number, because it can be changed into a prime (2414114400149) 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, 23733394 + ... + 23834894.

Almost surely, 2^{2414114400144} is an apocalyptic number.

2414114400144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2414114400144 is an abundant number, since it is smaller than the sum of its proper divisors (3925427682480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2414114400144 is a wasteful number, since it uses less digits than its factorization.

2414114400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109696 (or 109690 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 2414114400144 its reverse (4410044114142), we get a palindrome (6824158514286).

The spelling of 2414114400144 in words is "two trillion, four hundred fourteen billion, one hundred fourteen million, four hundred thousand, one hundred forty-four".