24814275140 has 48 divisors (see below), whose sum is σ = 53957836800. Its totient is φ = 9574384512.

The previous prime is 24814275113. The next prime is 24814275173. The reversal of 24814275140 is 4157241842.

It is a junction number, because it is equal to n+sod(n) for n = 24814275094 and 24814275103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610781 + ... + 650139.

It is an arithmetic number, because the mean of its divisors is an integer number (1124121600).

Almost surely, 2^24814275140 is an apocalyptic number.

24814275140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24814275140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26978918400).

24814275140 is an abundant number, since it is smaller than the sum of its proper divisors (29143561660).

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

24814275140 is a wasteful number, since it uses less digits than its factorization.

24814275140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40484 (or 40482 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The spelling of 24814275140 in words is "twenty-four billion, eight hundred fourteen million, two hundred seventy-five thousand, one hundred forty".