4040701456896 has 480 divisors, whose sum is σ = 12855866255232. Its totient is φ = 1214220533760.

The previous prime is 4040701456879. The next prime is 4040701456901. The reversal of 4040701456896 is 6986541070404.

4040701456896 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 70 + 1 + 4 + 568 + 9 + 6 = 666.

It is a super-2 number, since 2×4040701456896² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 450413691 + ... + 450422661.

Almost surely, 2^{4040701456896} 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 4040701456896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427933127616).

4040701456896 is an abundant number, since it is smaller than the sum of its proper divisors (8815164798336).

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

4040701456896 is a wasteful number, since it uses less digits than its factorization.

4040701456896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9184 (or 9165 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4040701456896 in words is "four trillion, forty billion, seven hundred one million, four hundred fifty-six thousand, eight hundred ninety-six".