6438140478000 has 720 divisors, whose sum is σ = 28535506066080. Its totient is φ = 1337793408000.

The previous prime is 6438140477981. The next prime is 6438140478013. The reversal of 6438140478000 is 8740418346.

6438140478000 is a `hidden beast` number, since 6 + 4 + 38 + 140 + 478 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9370206 + ... + 10033794.

It is an arithmetic number, because the mean of its divisors is an integer number (39632647314).

Almost surely, 2^{6438140478000} is an apocalyptic number.

6438140478000 is a gapful number since it is divisible by the number (60) 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 6438140478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14267753033040).

6438140478000 is an abundant number, since it is smaller than the sum of its proper divisors (22097365588080).

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

6438140478000 is a wasteful number, since it uses less digits than its factorization.

6438140478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663643 (or 663617 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 6438140478000 in words is "six trillion, four hundred thirty-eight billion, one hundred forty million, four hundred seventy-eight thousand".