1438560000 has 540 divisors, whose sum is σ = 5520226712. Its totient is φ = 373248000.

The previous prime is 1438559999. The next prime is 1438560017. The reversal of 1438560000 is 658341.

1438560000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38879982 + ... + 38880018.

Almost surely, 2^1438560000 is an apocalyptic number.

1438560000 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 1438560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760113356).

1438560000 is an abundant number, since it is smaller than the sum of its proper divisors (4081666712).

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

1438560000 is an frugal number, since it uses more digits than its factorization.

1438560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1438560000 is about 37928.3535102699. The cubic root of 1438560000 is about 1128.8666947045.

1438560000 divided by its product of nonzero digits (2880) gives a triangular number (499500 = T₉₉₉).

The spelling of 1438560000 in words is "one billion, four hundred thirty-eight million, five hundred sixty thousand".