40017440236240 has 40 divisors (see below), whose sum is σ = 98513521996680. Its totient is φ = 15065389264896.

The previous prime is 40017440236219. The next prime is 40017440236259. The reversal of 40017440236240 is 4263204471004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4464650672784 + 35552789563456 = 2112972^2 + 5962616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×40017440236240³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40017440236240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14712292845 + ... + 14712295564.

It is an arithmetic number, because the mean of its divisors is an integer number (2462838049917).

Almost surely, 2^{40017440236240} is an apocalyptic number.

40017440236240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40017440236240 is an abundant number, since it is smaller than the sum of its proper divisors (58496081760440).

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

40017440236240 is a wasteful number, since it uses less digits than its factorization.

40017440236240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29424588439 (or 29424588433 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The spelling of 40017440236240 in words is "forty trillion, seventeen billion, four hundred forty million, two hundred thirty-six thousand, two hundred forty".