4109398634880 has 1280 divisors, whose sum is σ = 18607786560000. Its totient is φ = 839380008960.

The previous prime is 4109398634857. The next prime is 4109398634903. The reversal of 4109398634880 is 884368939014.

4109398634880 is a `hidden beast` number, since 4 + 1 + 0 + 9 + 3 + 98 + 63 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4109398634857) and next prime (4109398634903).

It is a super-2 number, since 2×4109398634880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 235500396 + ... + 235517844.

It is an arithmetic number, because the mean of its divisors is an integer number (14537333250).

Almost surely, 2^{4109398634880} is an apocalyptic number.

4109398634880 is a gapful number since it is divisible by the number (40) 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 4109398634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303893280000).

4109398634880 is an abundant number, since it is smaller than the sum of its proper divisors (14498387925120).

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

4109398634880 is a wasteful number, since it uses less digits than its factorization.

4109398634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17557 (or 17536 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 4109398634880 in words is "four trillion, one hundred nine billion, three hundred ninety-eight million, six hundred thirty-four thousand, eight hundred eighty".