104053022418240 has 1680 divisors, whose sum is σ = 434112183457920. Its totient is φ = 23588547010560.

The previous prime is 104053022418227. The next prime is 104053022418269. The reversal of 104053022418240 is 42814220350401.

104053022418240 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 530 + 2 + 2 + 4 + 1 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104053022418195 and 104053022418204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 100924366525 + ... + 100924367555.

Almost surely, 2^{104053022418240} is an apocalyptic number.

104053022418240 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 104053022418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217056091728960).

104053022418240 is an abundant number, since it is smaller than the sum of its proper divisors (330059161039680).

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

104053022418240 is a wasteful number, since it uses less digits than its factorization.

104053022418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 104053022418240 its reverse (42814220350401), we get a palindrome (146867242768641).

The spelling of 104053022418240 in words is "one hundred four trillion, fifty-three billion, twenty-two million, four hundred eighteen thousand, two hundred forty".