1424136000 has 448 divisors, whose sum is σ = 5515660800. Its totient is φ = 323635200.

The previous prime is 1424135983. The next prime is 1424136061. The reversal of 1424136000 is 6314241.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8231914 + ... + 8232086.

Almost surely, 2^1424136000 is an apocalyptic number.

1424136000 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 1424136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757830400).

1424136000 is an abundant number, since it is smaller than the sum of its proper divisors (4091524800).

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

1424136000 is an equidigital number, since it uses as much as digits as its factorization.

1424136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

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

The square root of 1424136000 is about 37737.7264815993. The cubic root of 1424136000 is about 1125.0810805760.

The spelling of 1424136000 in words is "one billion, four hundred twenty-four million, one hundred thirty-six thousand".