109335736440 has 512 divisors, whose sum is σ = 438773760000. Its totient is φ = 24182323200.

The previous prime is 109335736429. The next prime is 109335736463. The reversal of 109335736440 is 44637533901.

109335736440 is a `hidden beast` number, since 1 + 0 + 9 + 33 + 573 + 6 + 4 + 40 = 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 127 ways as a sum of consecutive naturals, for example, 11478880 + ... + 11488400.

It is an arithmetic number, because the mean of its divisors is an integer number (856980000).

Almost surely, 2^109335736440 is an apocalyptic number.

109335736440 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 109335736440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219386880000).

109335736440 is an abundant number, since it is smaller than the sum of its proper divisors (329438023560).

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

109335736440 is a wasteful number, since it uses less digits than its factorization.

109335736440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 109335736440 in words is "one hundred nine billion, three hundred thirty-five million, seven hundred thirty-six thousand, four hundred forty".