4005016420600 has 48 divisors (see below), whose sum is σ = 10027944967320. Its totient is φ = 1478775292800.

The previous prime is 4005016420577. The next prime is 4005016420631. The reversal of 4005016420600 is 60246105004.

4005016420600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4005016420600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 770192866 + ... + 770198065.

Almost surely, 2^{4005016420600} is an apocalyptic number.

4005016420600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005016420600 is an abundant number, since it is smaller than the sum of its proper divisors (6022928546720).

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

4005016420600 is a wasteful number, since it uses less digits than its factorization.

4005016420600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540390960 (or 1540390951 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 4005016420600 in words is "four trillion, five billion, sixteen million, four hundred twenty thousand, six hundred".