240403244928 has 512 divisors, whose sum is σ = 823879296000. Its totient is φ = 61559930880.

The previous prime is 240403244923. The next prime is 240403244947. The reversal of 240403244928 is 829442304042.

It is a happy number.

It is a super-3 number, since 3×240403244928³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 240403244928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240403244923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105763600 + ... + 105765872.

It is an arithmetic number, because the mean of its divisors is an integer number (1609139250).

Almost surely, 2^240403244928 is an apocalyptic number.

240403244928 is a gapful number since it is divisible by the number (28) 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 240403244928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411939648000).

240403244928 is an abundant number, since it is smaller than the sum of its proper divisors (583476051072).

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

240403244928 is a wasteful number, since it uses less digits than its factorization.

240403244928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 240403244928 in words is "two hundred forty billion, four hundred three million, two hundred forty-four thousand, nine hundred twenty-eight".