138303202969440 has 240 divisors, whose sum is σ = 513784268086320. Its totient is φ = 34939756477440.

The previous prime is 138303202969391. The next prime is 138303202969471. The reversal of 138303202969440 is 44969202303831.

138303202969440 is a `hidden beast` number, since 1 + 3 + 8 + 303 + 2 + 0 + 296 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×138303202969440² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 280583851 + ... + 281076330.

It is an arithmetic number, because the mean of its divisors is an integer number (2140767783693).

Almost surely, 2^{138303202969440} is an apocalyptic number.

138303202969440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138303202969440 is an abundant number, since it is smaller than the sum of its proper divisors (375481065116880).

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

138303202969440 is a wasteful number, since it uses less digits than its factorization.

138303202969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561660227 (or 561660210 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 138303202969440 in words is "one hundred thirty-eight trillion, three hundred three billion, two hundred two million, nine hundred sixty-nine thousand, four hundred forty".