24400140114 has 64 divisors (see below), whose sum is σ = 57602506752. Its totient is φ = 6742872000.

The previous prime is 24400140113. The next prime is 24400140131. The reversal of 24400140114 is 41104100442.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (24400140113) 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 31 ways as a sum of consecutive naturals, for example, 3064839 + ... + 3072789.

It is an arithmetic number, because the mean of its divisors is an integer number (900039168).

Almost surely, 2^24400140114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24400140114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28801253376).

24400140114 is an abundant number, since it is smaller than the sum of its proper divisors (33202366638).

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

24400140114 is a wasteful number, since it uses less digits than its factorization.

24400140114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 24400140114 its reverse (41104100442), we get a palindrome (65504240556).

The spelling of 24400140114 in words is "twenty-four billion, four hundred million, one hundred forty thousand, one hundred fourteen".