240415867755864 has 384 divisors, whose sum is σ = 697944806919360. Its totient is φ = 74500348575744.

The previous prime is 240415867755799. The next prime is 240415867755907. The reversal of 240415867755864 is 468557768514042.

240415867755864 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 1 + 5 + 8 + 6 + 7 + 7 + 558 + 64 = 666.

240415867755864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 240415867755792 and 240415867755801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19024751754 + ... + 19024764390.

Almost surely, 2^{240415867755864} is an apocalyptic number.

240415867755864 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 240415867755864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348972403459680).

240415867755864 is an abundant number, since it is smaller than the sum of its proper divisors (457528939163496).

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

240415867755864 is a wasteful number, since it uses less digits than its factorization.

240415867755864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13427 (or 13420 counting only the distinct ones).

The product of its (nonzero) digits is 1806336000, while the sum is 72.

The spelling of 240415867755864 in words is "two hundred forty trillion, four hundred fifteen billion, eight hundred sixty-seven million, seven hundred fifty-five thousand, eight hundred sixty-four".