110007388640 has 384 divisors, whose sum is σ = 294089564160. Its totient is φ = 38707200000.

The previous prime is 110007388613. The next prime is 110007388661. The reversal of 110007388640 is 46883700011.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 110007388594 and 110007388603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274332440 + ... + 274332840.

It is an arithmetic number, because the mean of its divisors is an integer number (765858240).

Almost surely, 2^110007388640 is an apocalyptic number.

110007388640 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 110007388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147044782080).

110007388640 is an abundant number, since it is smaller than the sum of its proper divisors (184082175520).

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

110007388640 is a wasteful number, since it uses less digits than its factorization.

110007388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 110007388640 in words is "one hundred ten billion, seven million, three hundred eighty-eight thousand, six hundred forty".