138967799040 has 1440 divisors, whose sum is σ = 599133486336. Its totient is φ = 30098718720.

The previous prime is 138967799029. The next prime is 138967799077. The reversal of 138967799040 is 40997769831.

138967799040 is a `hidden beast` number, since 1 + 389 + 67 + 79 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 1903668444 + ... + 1903668516.

Almost surely, 2^138967799040 is an apocalyptic number.

138967799040 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 138967799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299566743168).

138967799040 is an abundant number, since it is smaller than the sum of its proper divisors (460165687296).

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

138967799040 is an equidigital number, since it uses as much as digits as its factorization.

138967799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 138967799040 in words is "one hundred thirty-eight billion, nine hundred sixty-seven million, seven hundred ninety-nine thousand, forty".