240369493728 has 1152 divisors, whose sum is σ = 883806336000. Its totient is φ = 56747851776.

The previous prime is 240369493723. The next prime is 240369493729. The reversal of 240369493728 is 827394963042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240369493723) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3587604351 + ... + 3587604417.

It is an arithmetic number, because the mean of its divisors is an integer number (767193000).

Almost surely, 2^240369493728 is an apocalyptic number.

240369493728 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 240369493728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441903168000).

240369493728 is an abundant number, since it is smaller than the sum of its proper divisors (643436842272).

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

240369493728 is a wasteful number, since it uses less digits than its factorization.

240369493728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 240369493728 in words is "two hundred forty billion, three hundred sixty-nine million, four hundred ninety-three thousand, seven hundred twenty-eight".