138778589444640 has 384 divisors, whose sum is σ = 492703386336000. Its totient is φ = 32626748030976.

The previous prime is 138778589444629. The next prime is 138778589444683. The reversal of 138778589444640 is 46444985877831.

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, 8769826 + ... + 18827294.

It is an arithmetic number, because the mean of its divisors is an integer number (1283081735250).

Almost surely, 2^{138778589444640} is an apocalyptic number.

138778589444640 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 138778589444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246351693168000).

138778589444640 is an abundant number, since it is smaller than the sum of its proper divisors (353924796891360).

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

138778589444640 is a wasteful number, since it uses less digits than its factorization.

138778589444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10057612 (or 10057604 counting only the distinct ones).

The product of its (nonzero) digits is 5202247680, while the sum is 78.

The spelling of 138778589444640 in words is "one hundred thirty-eight trillion, seven hundred seventy-eight billion, five hundred eighty-nine million, four hundred forty-four thousand, six hundred forty".