1416016900 has 81 divisors (see below), whose sum is σ = 3176558623. Its totient is φ = 547892800.

The previous prime is 1416016883. The next prime is 1416016907. The reversal of 1416016900 is 96106141.

The square root of 1416016900 is 37630.

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 10666756 + 1405350144 = 3266^2 + 37488^2 .

It is a super-2 number, since 2×1416016900² = 4010207722171220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1416016907) 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, 19943865 + ... + 19943935.

Almost surely, 2^1416016900 is an apocalyptic number.

1416016900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1416016900 is the 37630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416016900

1416016900 is an abundant number, since it is smaller than the sum of its proper divisors (1760541723).

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

1416016900 is an equidigital number, since it uses as much as digits as its factorization.

1416016900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The cubic root of 1416016900 is about 1122.9389490008.

Multiplying 1416016900 by its product of nonzero digits (1296), we get a square (1835157902400 = 1354680²).

The spelling of 1416016900 in words is "one billion, four hundred sixteen million, sixteen thousand, nine hundred".