1416420000 has 480 divisors, whose sum is σ = 5369031360. Its totient is φ = 362880000.

The previous prime is 1416419981. The next prime is 1416420007. The reversal of 1416420000 is 246141.

It is a tau number, because it is divible by the number of its divisors (480).

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 (1416420007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23219970 + ... + 23220030.

It is an arithmetic number, because the mean of its divisors is an integer number (11185482).

Almost surely, 2^1416420000 is an apocalyptic number.

1416420000 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 1416420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684515680).

1416420000 is an abundant number, since it is smaller than the sum of its proper divisors (3952611360).

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

1416420000 is an equidigital number, since it uses as much as digits as its factorization.

1416420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

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

The square root of 1416420000 is about 37635.3557177290. The cubic root of 1416420000 is about 1123.0454952207.

Adding to 1416420000 its reverse (246141), we get a palindrome (1416666141).

The spelling of 1416420000 in words is "one billion, four hundred sixteen million, four hundred twenty thousand".