109541938407408 has 200 divisors, whose sum is σ = 352448327724416. Its totient is φ = 32617946764800.

The previous prime is 109541938407397. The next prime is 109541938407431. The reversal of 109541938407408 is 804704839145901.

109541938407408 is a `hidden beast` number, since 1 + 0 + 9 + 541 + 9 + 3 + 8 + 40 + 7 + 40 + 8 = 666.

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, 104345083 + ... + 105389658.

Almost surely, 2^{109541938407408} is an apocalyptic number.

109541938407408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109541938407408 is an abundant number, since it is smaller than the sum of its proper divisors (242906389317008).

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

109541938407408 is a wasteful number, since it uses less digits than its factorization.

109541938407408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209734805 (or 209734790 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 109541938407408 in words is "one hundred nine trillion, five hundred forty-one billion, nine hundred thirty-eight million, four hundred seven thousand, four hundred eight".