110385401222880 has 1536 divisors, whose sum is σ = 478080546693120. Its totient is φ = 23239077396480.

The previous prime is 110385401222879. The next prime is 110385401222947. The reversal of 110385401222880 is 88222104583011.

110385401222880 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 8 + 540 + 1 + 2 + 2 + 28 + 80 = 666.

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2496199170 + ... + 2496243390.

It is an arithmetic number, because the mean of its divisors is an integer number (311250355920).

Almost surely, 2^{110385401222880} is an apocalyptic number.

110385401222880 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 110385401222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239040273346560).

110385401222880 is an abundant number, since it is smaller than the sum of its proper divisors (367695145470240).

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

110385401222880 is a wasteful number, since it uses less digits than its factorization.

110385401222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44409 (or 44395 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 110385401222880 in words is "one hundred ten trillion, three hundred eighty-five billion, four hundred one million, two hundred twenty-two thousand, eight hundred eighty".