24042214031472 has 480 divisors, whose sum is σ = 85431088488960. Its totient is φ = 6338654300160.

The previous prime is 24042214031441. The next prime is 24042214031527. The reversal of 24042214031472 is 27413041224042.

24042214031472 is a `hidden beast` number, since 2 + 4 + 0 + 42 + 2 + 140 + 3 + 1 + 472 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1996689772 + ... + 1996701812.

It is an arithmetic number, because the mean of its divisors is an integer number (177981434352).

Almost surely, 2^{24042214031472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24042214031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42715544244480).

24042214031472 is an abundant number, since it is smaller than the sum of its proper divisors (61388874457488).

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

24042214031472 is a wasteful number, since it uses less digits than its factorization.

24042214031472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15998 (or 15973 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 24042214031472 in words is "twenty-four trillion, forty-two billion, two hundred fourteen million, thirty-one thousand, four hundred seventy-two".