1416849408 has 336 divisors, whose sum is σ = 4636965060. Its totient is φ = 429981696.

The previous prime is 1416849407. The next prime is 1416849409. The reversal of 1416849408 is 8049486141.

1416849408 is a `hidden beast` number, since 141 + 68 + 49 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (1416849407) and next prime (1416849409).

It can be written as a sum of positive squares in 2 ways, for example, as 1380271104 + 36578304 = 37152^2 + 6048^2 .

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1416849407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19408860 + ... + 19408932.

Almost surely, 2^1416849408 is an apocalyptic number.

1416849408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318482530).

1416849408 is an abundant number, since it is smaller than the sum of its proper divisors (3220115652).

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

1416849408 is an frugal number, since it uses more digits than its factorization.

1416849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1416849408 is about 37641.0601338485. The cubic root of 1416849408 is about 1123.1589728604.

The spelling of 1416849408 in words is "one billion, four hundred sixteen million, eight hundred forty-nine thousand, four hundred eight".