240816743838 has 192 divisors, whose sum is σ = 618466290624. Its totient is φ = 66889728000.

The previous prime is 240816743831. The next prime is 240816743887. The reversal of 240816743838 is 838347618042.

240816743838 is a `hidden beast` number, since 2 + 40 + 8 + 167 + 438 + 3 + 8 = 666.

It is a super-2 number, since 2×240816743838² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240816743831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105021420 + ... + 105023712.

It is an arithmetic number, because the mean of its divisors is an integer number (3221178597).

Almost surely, 2^240816743838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240816743838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309233145312).

240816743838 is an abundant number, since it is smaller than the sum of its proper divisors (377649546786).

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

240816743838 is a wasteful number, since it uses less digits than its factorization.

240816743838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

It can be divided in two parts, 2408167 and 43838, that added together give a triangular number (2452005 = T₂₂₁₄).

The spelling of 240816743838 in words is "two hundred forty billion, eight hundred sixteen million, seven hundred forty-three thousand, eight hundred thirty-eight".