40118616768 has 224 divisors, whose sum is σ = 113719173120. Its totient is φ = 12460032000.

The previous prime is 40118616767. The next prime is 40118616821. The reversal of 40118616768 is 86761681104.

It is a super-2 number, since 2×40118616768² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40118616763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19277488 + ... + 19279568.

It is an arithmetic number, because the mean of its divisors is an integer number (507674880).

Almost surely, 2^40118616768 is an apocalyptic number.

40118616768 is a gapful number since it is divisible by the number (48) 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 40118616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56859586560).

40118616768 is an abundant number, since it is smaller than the sum of its proper divisors (73600556352).

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

40118616768 is a wasteful number, since it uses less digits than its factorization.

40118616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 40118616768 in words is "forty billion, one hundred eighteen million, six hundred sixteen thousand, seven hundred sixty-eight".