104043577098240 has 1440 divisors, whose sum is σ = 409936497384960. Its totient is φ = 24217399590912.

The previous prime is 104043577098221. The next prime is 104043577098271. The reversal of 104043577098240 is 42890775340401.

104043577098240 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 43 + 577 + 0 + 9 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×104043577098240² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19619755429 + ... + 19619760731.

It is an arithmetic number, because the mean of its divisors is an integer number (284678123184).

Almost surely, 2^{104043577098240} is an apocalyptic number.

104043577098240 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 104043577098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204968248692480).

104043577098240 is an abundant number, since it is smaller than the sum of its proper divisors (305892920286720).

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

104043577098240 is a wasteful number, since it uses less digits than its factorization.

104043577098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 104043577098240 in words is "one hundred four trillion, forty-three billion, five hundred seventy-seven million, ninety-eight thousand, two hundred forty".