40712643112064 has 128 divisors (see below), whose sum is σ = 101158725934080. Its totient is φ = 15856102056960.

The previous prime is 40712643112051. The next prime is 40712643112133. The reversal of 40712643112064 is 46021134621704.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25470947 + ... + 27022109.

It is an arithmetic number, because the mean of its divisors is an integer number (790302546360).

Almost surely, 2^{40712643112064} is an apocalyptic number.

40712643112064 is a gapful number since it is divisible by the number (44) 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 40712643112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50579362967040).

40712643112064 is an abundant number, since it is smaller than the sum of its proper divisors (60446082822016).

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

40712643112064 is a wasteful number, since it uses less digits than its factorization.

40712643112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553858 (or 1553846 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

Adding to 40712643112064 its reverse (46021134621704), we get a palindrome (86733777733768).

The spelling of 40712643112064 in words is "forty trillion, seven hundred twelve billion, six hundred forty-three million, one hundred twelve thousand, sixty-four".