40365118168320 has 288 divisors, whose sum is σ = 141798038062464. Its totient is φ = 9785481953280.

The previous prime is 40365118168301. The next prime is 40365118168339. The reversal of 40365118168320 is 2386181156304.

It is an interprime number because it is at equal distance from previous prime (40365118168301) and next prime (40365118168339).

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

It is a self number, because there is not a number n which added to its sum of digits gives 40365118168320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162224 + ... + 9059856.

It is an arithmetic number, because the mean of its divisors is an integer number (492354298828).

Almost surely, 2^{40365118168320} is an apocalyptic number.

40365118168320 is a gapful number since it is divisible by the number (40) 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 40365118168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70899019031232).

40365118168320 is an abundant number, since it is smaller than the sum of its proper divisors (101432919894144).

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

40365118168320 is an equidigital number, since it uses as much as digits as its factorization.

40365118168320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897690 (or 7897654 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 40365118168320 in words is "forty trillion, three hundred sixty-five billion, one hundred eighteen million, one hundred sixty-eight thousand, three hundred twenty".