1438015314000 has 80 divisors (see below), whose sum is σ = 4636161391680. Its totient is φ = 383470748800.

The previous prime is 1438015313983. The next prime is 1438015314019. The reversal of 1438015314000 is 4135108341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119828610 + ... + 119840609.

It is an arithmetic number, because the mean of its divisors is an integer number (57952017396).

Almost surely, 2^{1438015314000} is an apocalyptic number.

1438015314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1438015314000 is an abundant number, since it is smaller than the sum of its proper divisors (3198146077680).

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

1438015314000 is a wasteful number, since it uses less digits than its factorization.

1438015314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239669245 (or 239669229 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1438015314000 in words is "one trillion, four hundred thirty-eight billion, fifteen million, three hundred fourteen thousand".