40073318065368 has 512 divisors, whose sum is σ = 134070681600000. Its totient is φ = 10848998684160.

The previous prime is 40073318065219. The next prime is 40073318065369. The reversal of 40073318065368 is 86356081337004.

40073318065368 is a `hidden beast` number, since 4 + 0 + 0 + 73 + 31 + 8 + 0 + 6 + 536 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40073318065369) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1239607621 + ... + 1239639947.

It is an arithmetic number, because the mean of its divisors is an integer number (261856800000).

Almost surely, 2^{40073318065368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40073318065368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67035340800000).

40073318065368 is an abundant number, since it is smaller than the sum of its proper divisors (93997363534632).

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

40073318065368 is a wasteful number, since it uses less digits than its factorization.

40073318065368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32932 (or 32922 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 40073318065368 in words is "forty trillion, seventy-three billion, three hundred eighteen million, sixty-five thousand, three hundred sixty-eight".