107881900093440 has 1248 divisors, whose sum is σ = 429984691868160. Its totient is φ = 24743588659200.

The previous prime is 107881900093439. The next prime is 107881900093463. The reversal of 107881900093440 is 44390009188701.

107881900093440 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 8 + 190 + 0 + 0 + 9 + 3 + 440 = 666.

It is a super-3 number, since 3×107881900093440³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39794133685 + ... + 39794136395.

It is an arithmetic number, because the mean of its divisors is an integer number (344539015920).

Almost surely, 2^{107881900093440} is an apocalyptic number.

107881900093440 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 107881900093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214992345934080).

107881900093440 is an abundant number, since it is smaller than the sum of its proper divisors (322102791774720).

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

107881900093440 is a wasteful number, since it uses less digits than its factorization.

107881900093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 107881900093440 in words is "one hundred seven trillion, eight hundred eighty-one billion, nine hundred million, ninety-three thousand, four hundred forty".