1434216000 has 224 divisors, whose sum is σ = 5412955392. Its totient is φ = 327782400.

The previous prime is 1434215977. The next prime is 1434216029. The reversal of 1434216000 is 6124341.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163732 + ... + 172268.

Almost surely, 2^1434216000 is an apocalyptic number.

1434216000 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 1434216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706477696).

1434216000 is an abundant number, since it is smaller than the sum of its proper divisors (3978739392).

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

1434216000 is an equidigital number, since it uses as much as digits as its factorization.

1434216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8574 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1434216000 is about 37871.0443478920. The cubic root of 1434216000 is about 1127.7292746003.

The spelling of 1434216000 in words is "one billion, four hundred thirty-four million, two hundred sixteen thousand".