924242444640 has 144 divisors (see below), whose sum is σ = 3159745990128. Its totient is φ = 246013867008.

The previous prime is 924242444633. The next prime is 924242444677. The reversal of 924242444640 is 46444242429.

924242444640 is a `hidden beast` number, since 92 + 42 + 42 + 4 + 446 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200994 + ... + 1374366.

It is an arithmetic number, because the mean of its divisors is an integer number (21942680487).

Almost surely, 2^924242444640 is an apocalyptic number.

924242444640 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 924242444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579872995064).

924242444640 is an abundant number, since it is smaller than the sum of its proper divisors (2235503545488).

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

924242444640 is a wasteful number, since it uses less digits than its factorization.

924242444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173941 (or 1173930 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 924242444640 in words is "nine hundred twenty-four billion, two hundred forty-two million, four hundred forty-four thousand, six hundred forty".