40866605040690 has 1536 divisors, whose sum is σ = 145256103014400. Its totient is φ = 8053139128320.

The previous prime is 40866605040683. The next prime is 40866605040713. The reversal of 40866605040690 is 9604050666804.

40866605040690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40866605040690² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 13456239852 + ... + 13456242888.

It is an arithmetic number, because the mean of its divisors is an integer number (94567775400).

Almost surely, 2^{40866605040690} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40866605040690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72628051507200).

40866605040690 is an abundant number, since it is smaller than the sum of its proper divisors (104389497973710).

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

40866605040690 is a wasteful number, since it uses less digits than its factorization.

40866605040690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 40866605040690 in words is "forty trillion, eight hundred sixty-six billion, six hundred five million, forty thousand, six hundred ninety".