40166712211640 has 128 divisors (see below), whose sum is σ = 105676261079040. Its totient is φ = 13453791676416.

The previous prime is 40166712211547. The next prime is 40166712211657. The reversal of 40166712211640 is 4611221766104.

It is a super-2 number, since 2×40166712211640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4408592 + ... + 9988448.

It is an arithmetic number, because the mean of its divisors is an integer number (825595789680).

Almost surely, 2^{40166712211640} is an apocalyptic number.

40166712211640 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 40166712211640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52838130539520).

40166712211640 is an abundant number, since it is smaller than the sum of its proper divisors (65509548867400).

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

40166712211640 is a wasteful number, since it uses less digits than its factorization.

40166712211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580469 (or 5580465 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

Adding to 40166712211640 its reverse (4611221766104), we get a palindrome (44777933977744).

The spelling of 40166712211640 in words is "forty trillion, one hundred sixty-six billion, seven hundred twelve million, two hundred eleven thousand, six hundred forty".