40106563034144 has 96 divisors (see below), whose sum is σ = 82086260518080. Its totient is φ = 19278133171200.

The previous prime is 40106563034129. The next prime is 40106563034147. The reversal of 40106563034144 is 44143036560104.

It is not an unprimeable number, because it can be changed into a prime (40106563034147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18917579 + ... + 20930549.

It is an arithmetic number, because the mean of its divisors is an integer number (855065213730).

Almost surely, 2^{40106563034144} 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 40106563034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41043130259040).

40106563034144 is an abundant number, since it is smaller than the sum of its proper divisors (41979697483936).

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

40106563034144 is a wasteful number, since it uses less digits than its factorization.

40106563034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013274 (or 2013266 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

Adding to 40106563034144 its reverse (44143036560104), we get a palindrome (84249599594248).

The spelling of 40106563034144 in words is "forty trillion, one hundred six billion, five hundred sixty-three million, thirty-four thousand, one hundred forty-four".