40256701016896 has 224 divisors, whose sum is σ = 104136458630400. Its totient is φ = 14984064958464.

The previous prime is 40256701016891. The next prime is 40256701016921. The reversal of 40256701016896 is 69861010765204.

40256701016896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40256701016891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 313098030 + ... + 313226578.

It is an arithmetic number, because the mean of its divisors is an integer number (464894904600).

Almost surely, 2^{40256701016896} 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 40256701016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52068229315200).

40256701016896 is an abundant number, since it is smaller than the sum of its proper divisors (63879757613504).

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

40256701016896 is a wasteful number, since it uses less digits than its factorization.

40256701016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131761 (or 131751 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 40256701016896 in words is "forty trillion, two hundred fifty-six billion, seven hundred one million, sixteen thousand, eight hundred ninety-six".