138916315440 has 440 divisors, whose sum is σ = 553809414048. Its totient is φ = 31744742400.

The previous prime is 138916315427. The next prime is 138916315451. The reversal of 138916315440 is 44513619831.

138916315440 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 1 + 631 + 5 + 4 + 4 + 0 = 666.

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 87 ways as a sum of consecutive naturals, for example, 33065340 + ... + 33069540.

Almost surely, 2^138916315440 is an apocalyptic number.

138916315440 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 138916315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276904707024).

138916315440 is an abundant number, since it is smaller than the sum of its proper divisors (414893098608).

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

138916315440 is an frugal number, since it uses more digits than its factorization.

138916315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 138916315440 in words is "one hundred thirty-eight billion, nine hundred sixteen million, three hundred fifteen thousand, four hundred forty".