1420416000 has 440 divisors, whose sum is σ = 5332205736. Its totient is φ = 376012800.

The previous prime is 1420415987. The next prime is 1420416007. The reversal of 1420416000 is 6140241.

1420416000 is a `hidden beast` number, since 1 + 4 + 20 + 41 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 1380271104 = 6336^2 + 37152^2 .

It is a super-2 number, since 2×1420416000² = 4035163226112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420416007) 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 39 ways as a sum of consecutive naturals, for example, 10367932 + ... + 10368068.

Almost surely, 2^1420416000 is an apocalyptic number.

1420416000 is a gapful number since it is divisible by the number (10) 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 1420416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666102868).

1420416000 is an abundant number, since it is smaller than the sum of its proper divisors (3911789736).

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

1420416000 is an equidigital number, since it uses as much as digits as its factorization.

1420416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1420416000 is about 37688.4067055109. The cubic root of 1420416000 is about 1124.1006145078.

Adding to 1420416000 its reverse (6140241), we get a palindrome (1426556241).

The spelling of 1420416000 in words is "one billion, four hundred twenty million, four hundred sixteen thousand".