24214145161140 has 144 divisors (see below), whose sum is σ = 80231008777920. Its totient is φ = 5862462013440.

The previous prime is 24214145161111. The next prime is 24214145161147. The reversal of 24214145161140 is 4116154141242.

24214145161140 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 4 + 1 + 451 + 61 + 140 = 666.

It is a super-3 number, since 3×24214145161140³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24214145161095 and 24214145161104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24214145161147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6428854 + ... + 9474093.

It is an arithmetic number, because the mean of its divisors is an integer number (557159783180).

Almost surely, 2^{24214145161140} is an apocalyptic number.

24214145161140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24214145161140 is an abundant number, since it is smaller than the sum of its proper divisors (56016863616780).

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

24214145161140 is a wasteful number, since it uses less digits than its factorization.

24214145161140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15903742 (or 15903737 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 24214145161140 in words is "twenty-four trillion, two hundred fourteen billion, one hundred forty-five million, one hundred sixty-one thousand, one hundred forty".