4002016455 has 48 divisors (see below), whose sum is σ = 7537520640. Its totient is φ = 1956830400.

The previous prime is 4002016441. The next prime is 4002016471. The reversal of 4002016455 is 5546102004.

4002016455 is a `hidden beast` number, since 4 + 0 + 0 + 201 + 6 + 455 = 666.

It is not a de Polignac number, because 4002016455 - 2⁶ = 4002016391 is a prime.

It is a super-2 number, since 2×4002016455² = 32032271412181534050, which contains 22 as substring.

It is a congruent number.

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, 48991 + ... + 102000.

It is an arithmetic number, because the mean of its divisors is an integer number (157031680).

Almost surely, 2^4002016455 is an apocalyptic number.

4002016455 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4002016455 is a deficient number, since it is larger than the sum of its proper divisors (3535504185).

4002016455 is a wasteful number, since it uses less digits than its factorization.

4002016455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151052 (or 151049 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4002016455 is about 63261.4926712925. The cubic root of 4002016455 is about 1587.6677507234.

Adding to 4002016455 its reverse (5546102004), we get a palindrome (9548118459).

The spelling of 4002016455 in words is "four billion, two million, sixteen thousand, four hundred fifty-five".