240768390144 has 176 divisors, whose sum is σ = 652460583488. Its totient is φ = 78925529088.

The previous prime is 240768390131. The next prime is 240768390199. The reversal of 240768390144 is 441093867042.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 240768390093 and 240768390102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48568914 + ... + 48573870.

Almost surely, 2^240768390144 is an apocalyptic number.

240768390144 is a gapful number since it is divisible by the number (24) 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 240768390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326230291744).

240768390144 is an abundant number, since it is smaller than the sum of its proper divisors (411692193344).

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

240768390144 is a wasteful number, since it uses less digits than its factorization.

240768390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5240 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 240768390144 in words is "two hundred forty billion, seven hundred sixty-eight million, three hundred ninety thousand, one hundred forty-four".