1424400000 has 192 divisors, whose sum is σ = 4733134560. Its totient is φ = 379520000.

The previous prime is 1424399929. The next prime is 1424400013. The reversal of 1424400000 is 44241.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199407 + ... + 1200593.

Almost surely, 2^1424400000 is an apocalyptic number.

1424400000 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 1424400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366567280).

1424400000 is an abundant number, since it is smaller than the sum of its proper divisors (3308734560).

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

1424400000 is an frugal number, since it uses more digits than its factorization.

1424400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1424400000 is about 37741.2241454884. The cubic root of 1424400000 is about 1125.1505971235.

Adding to 1424400000 its reverse (44241), we get a palindrome (1424444241).

The spelling of 1424400000 in words is "one billion, four hundred twenty-four million, four hundred thousand".