2414124104400 has 90 divisors (see below), whose sum is σ = 8377681244790. Its totient is φ = 643766426880.

The previous prime is 2414124104383. The next prime is 2414124104401. The reversal of 2414124104400 is 44014214142.

It is a happy number.

2414124104400 is a `hidden beast` number, since 2 + 4 + 14 + 1 + 241 + 0 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 811566144 + 2413312538256 = 28488^2 + 1553484^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414124104401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 335291415 + ... + 335298614.

Almost surely, 2^{2414124104400} is an apocalyptic number.

2414124104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414124104400 is an abundant number, since it is smaller than the sum of its proper divisors (5963557140390).

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

2414124104400 is a wasteful number, since it uses less digits than its factorization.

2414124104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670590053 (or 670590039 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2414124104400 its reverse (44014214142), we get a palindrome (2458138318542).

The spelling of 2414124104400 in words is "two trillion, four hundred fourteen billion, one hundred twenty-four million, one hundred four thousand, four hundred".