107408643840 has 1152 divisors, whose sum is σ = 426475203840. Its totient is φ = 25798901760.

The previous prime is 107408643827. The next prime is 107408643863. The reversal of 107408643840 is 48346804701.

107408643840 is a `hidden beast` number, since 107 + 408 + 64 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1760797410 + ... + 1760797470.

It is an arithmetic number, because the mean of its divisors is an integer number (370204170).

Almost surely, 2^107408643840 is an apocalyptic number.

107408643840 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 107408643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213237601920).

107408643840 is an abundant number, since it is smaller than the sum of its proper divisors (319066560000).

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

107408643840 is an frugal number, since it uses more digits than its factorization.

107408643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 107408643840 in words is "one hundred seven billion, four hundred eight million, six hundred forty-three thousand, eight hundred forty".