40517020320 has 192 divisors, whose sum is σ = 145953964800. Its totient is φ = 9255149568.

The previous prime is 40517020309. The next prime is 40517020331. The reversal of 40517020320 is 2302071504.

It is an interprime number because it is at equal distance from previous prime (40517020309) and next prime (40517020331).

It is a super-2 number, since 2×40517020320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7432956 + ... + 7438404.

It is an arithmetic number, because the mean of its divisors is an integer number (760176900).

Almost surely, 2^40517020320 is an apocalyptic number.

40517020320 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 40517020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72976982400).

40517020320 is an abundant number, since it is smaller than the sum of its proper divisors (105436944480).

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

40517020320 is a wasteful number, since it uses less digits than its factorization.

40517020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7687 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 40517020320 its reverse (2302071504), we get a palindrome (42819091824).

The spelling of 40517020320 in words is "forty billion, five hundred seventeen million, twenty thousand, three hundred twenty".