138211669440 has 448 divisors, whose sum is σ = 526470067200. Its totient is φ = 33931726848.

The previous prime is 138211669439. The next prime is 138211669459. The reversal of 138211669440 is 44966112831.

138211669440 is a `hidden beast` number, since 1 + 38 + 2 + 116 + 69 + 440 = 666.

138211669440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 49307079 + ... + 49309881.

It is an arithmetic number, because the mean of its divisors is an integer number (1175156400).

Almost surely, 2^138211669440 is an apocalyptic number.

138211669440 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 138211669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263235033600).

138211669440 is an abundant number, since it is smaller than the sum of its proper divisors (388258397760).

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

138211669440 is a wasteful number, since it uses less digits than its factorization.

138211669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 138211669440 in words is "one hundred thirty-eight billion, two hundred eleven million, six hundred sixty-nine thousand, four hundred forty".