1438414848000 has 2400 divisors, whose sum is σ = 6234579711360. Its totient is φ = 326998425600.

The previous prime is 1438414847993. The next prime is 1438414848011. The reversal of 1438414848000 is 8484148341.

1438414848000 is a `hidden beast` number, since 14 + 3 + 84 + 1 + 484 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49600511986 + ... + 49600512014.

Almost surely, 2^{1438414848000} is an apocalyptic number.

1438414848000 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 1438414848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117289855680).

1438414848000 is an abundant number, since it is smaller than the sum of its proper divisors (4796164863360).

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

1438414848000 is an equidigital number, since it uses as much as digits as its factorization.

1438414848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 1438414848000 in words is "one trillion, four hundred thirty-eight billion, four hundred fourteen million, eight hundred forty-eight thousand".