109400440020300 has 1008 divisors, whose sum is σ = 420937454112000. Its totient is φ = 24318740160000.

The previous prime is 109400440020299. The next prime is 109400440020307. The reversal of 109400440020300 is 3020044004901.

109400440020300 is a `hidden beast` number, since 10 + 9 + 4 + 0 + 0 + 440 + 0 + 203 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (109400440020307) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1574094951 + ... + 1574164449.

Almost surely, 2^{109400440020300} is an apocalyptic number.

109400440020300 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 109400440020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210468727056000).

109400440020300 is an abundant number, since it is smaller than the sum of its proper divisors (311537014091700).

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

109400440020300 is a wasteful number, since it uses less digits than its factorization.

109400440020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69706 (or 69684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 109400440020300 in words is "one hundred nine trillion, four hundred billion, four hundred forty million, twenty thousand, three hundred".