2024400231414 has 96 divisors (see below), whose sum is σ = 4810783389984. Its totient is φ = 610149335040.

The previous prime is 2024400231391. The next prime is 2024400231431. The reversal of 2024400231414 is 4141320044202.

2024400231414 is a `hidden beast` number, since 2 + 0 + 24 + 400 + 231 + 4 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34216722 + ... + 34275834.

It is an arithmetic number, because the mean of its divisors is an integer number (50112326979).

Almost surely, 2^{2024400231414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024400231414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405391694992).

2024400231414 is an abundant number, since it is smaller than the sum of its proper divisors (2786383158570).

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

2024400231414 is a wasteful number, since it uses less digits than its factorization.

2024400231414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60062 (or 60059 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2024400231414 its reverse (4141320044202), we get a palindrome (6165720275616).

The spelling of 2024400231414 in words is "two trillion, twenty-four billion, four hundred million, two hundred thirty-one thousand, four hundred fourteen".