138263293440 has 800 divisors, whose sum is σ = 518201190144. Its totient is φ = 35194798080.

The previous prime is 138263293423. The next prime is 138263293477. The reversal of 138263293440 is 44392362831.

138263293440 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 632 + 9 + 3 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 880657842 + ... + 880657998.

Almost surely, 2^138263293440 is an apocalyptic number.

138263293440 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 138263293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259100595072).

138263293440 is an abundant number, since it is smaller than the sum of its proper divisors (379937896704).

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

138263293440 is a wasteful number, since it uses less digits than its factorization.

138263293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 138263293440 in words is "one hundred thirty-eight billion, two hundred sixty-three million, two hundred ninety-three thousand, four hundred forty".