924249493440 has 1344 divisors, whose sum is σ = 4153110433920. Its totient is φ = 191739985920.

The previous prime is 924249493361. The next prime is 924249493513. The reversal of 924249493440 is 44394942429.

924249493440 is a `hidden beast` number, since 9 + 2 + 4 + 24 + 94 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×924249493440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 335723104 + ... + 335725856.

It is an arithmetic number, because the mean of its divisors is an integer number (3090111930).

Almost surely, 2^924249493440 is an apocalyptic number.

924249493440 is a gapful number since it is divisible by the number (90) 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 924249493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076555216960).

924249493440 is an abundant number, since it is smaller than the sum of its proper divisors (3228860940480).

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

924249493440 is a wasteful number, since it uses less digits than its factorization.

924249493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 924249493440 in words is "nine hundred twenty-four billion, two hundred forty-nine million, four hundred ninety-three thousand, four hundred forty".