109934288640 has 1296 divisors, whose sum is σ = 455980621824. Its totient is φ = 25291284480.

The previous prime is 109934288621. The next prime is 109934288641. The reversal of 109934288640 is 46882439901.

109934288640 is a `hidden beast` number, since 10 + 9 + 93 + 428 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109934288641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 865624257 + ... + 865624383.

Almost surely, 2^109934288640 is an apocalyptic number.

109934288640 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 109934288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227990310912).

109934288640 is an abundant number, since it is smaller than the sum of its proper divisors (346046333184).

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

109934288640 is a wasteful number, since it uses less digits than its factorization.

109934288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 109934288640 in words is "one hundred nine billion, nine hundred thirty-four million, two hundred eighty-eight thousand, six hundred forty".