108385405440 has 480 divisors, whose sum is σ = 379030829760. Its totient is φ = 26407600128.

The previous prime is 108385405439. The next prime is 108385405451. The reversal of 108385405440 is 44504583801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×108385405440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 108385405392 and 108385405401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146664591 + ... + 146665329.

It is an arithmetic number, because the mean of its divisors is an integer number (789647562).

Almost surely, 2^108385405440 is an apocalyptic number.

108385405440 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 108385405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189515414880).

108385405440 is an abundant number, since it is smaller than the sum of its proper divisors (270645424320).

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

108385405440 is a wasteful number, since it uses less digits than its factorization.

108385405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 108385405440 in words is "one hundred eight billion, three hundred eighty-five million, four hundred five thousand, four hundred forty".