138788416794240 has 1024 divisors, whose sum is σ = 518641035264000. Its totient is φ = 35029009612800.

The previous prime is 138788416794239. The next prime is 138788416794263. The reversal of 138788416794240 is 42497614887831.

138788416794240 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 88 + 416 + 7 + 94 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6226197495 + ... + 6226219785.

It is an arithmetic number, because the mean of its divisors is an integer number (506485386000).

Almost surely, 2^{138788416794240} is an apocalyptic number.

138788416794240 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 138788416794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259320517632000).

138788416794240 is an abundant number, since it is smaller than the sum of its proper divisors (379852618469760).

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

138788416794240 is a wasteful number, since it uses less digits than its factorization.

138788416794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22606 (or 22588 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 138788416794240 in words is "one hundred thirty-eight trillion, seven hundred eighty-eight billion, four hundred sixteen million, seven hundred ninety-four thousand, two hundred forty".