4016048331456 has 336 divisors, whose sum is σ = 13637046558720. Its totient is φ = 1105773742080.

The previous prime is 4016048331443. The next prime is 4016048331479. The reversal of 4016048331456 is 6541338406104.

4016048331456 is a `hidden beast` number, since 4 + 0 + 1 + 604 + 8 + 3 + 31 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4016048331456² (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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29805870 + ... + 29940306.

Almost surely, 2^{4016048331456} 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 4016048331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818523279360).

4016048331456 is an abundant number, since it is smaller than the sum of its proper divisors (9620998227264).

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

4016048331456 is a wasteful number, since it uses less digits than its factorization.

4016048331456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134732 (or 134719 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4016048331456 in words is "four trillion, sixteen billion, forty-eight million, three hundred thirty-one thousand, four hundred fifty-six".