138828349440 has 768 divisors, whose sum is σ = 546178127040. Its totient is φ = 33549189120.

The previous prime is 138828349411. The next prime is 138828349447. The reversal of 138828349440 is 44943828831.

138828349440 is a `hidden beast` number, since 1 + 3 + 8 + 82 + 83 + 49 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138828349447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437944162 + ... + 437944478.

Almost surely, 2^138828349440 is an apocalyptic number.

138828349440 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 138828349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273089063520).

138828349440 is an abundant number, since it is smaller than the sum of its proper divisors (407349777600).

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

138828349440 is an frugal number, since it uses more digits than its factorization.

138828349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 138828349440 in words is "one hundred thirty-eight billion, eight hundred twenty-eight million, three hundred forty-nine thousand, four hundred forty".