4016456892100 has 81 divisors (see below), whose sum is σ = 8802627713607. Its totient is φ = 1590718222080.

The previous prime is 4016456892079. The next prime is 4016456892103. The reversal of 4016456892100 is 12986546104.

It is a happy number.

The square root of 4016456892100 is 2004110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1921212222084 + 2095244670016 = 1386078^2 + 1447496^2 .

It is a super-2 number, since 2×4016456892100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4016456892103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2144396764 + ... + 2144398636.

Almost surely, 2^{4016456892100} is an apocalyptic number.

4016456892100 is the 2004110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016456892100

4016456892100 is an abundant number, since it is smaller than the sum of its proper divisors (4786170821507).

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

4016456892100 is an equidigital number, since it uses as much as digits as its factorization.

4016456892100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 4016456892100 in words is "four trillion, sixteen billion, four hundred fifty-six million, eight hundred ninety-two thousand, one hundred".