104486071145040 has 1920 divisors, whose sum is σ = 430049265085440. Its totient is φ = 22466426830848.

The previous prime is 104486071145003. The next prime is 104486071145047. The reversal of 104486071145040 is 40541170684401.

104486071145040 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 8 + 60 + 71 + 14 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104486071145047) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 24707037646 + ... + 24707041874.

It is an arithmetic number, because the mean of its divisors is an integer number (223983992232).

Almost surely, 2^{104486071145040} is an apocalyptic number.

104486071145040 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 104486071145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215024632542720).

104486071145040 is an abundant number, since it is smaller than the sum of its proper divisors (325563193940400).

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

104486071145040 is a wasteful number, since it uses less digits than its factorization.

104486071145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 104486071145040 in words is "one hundred four trillion, four hundred eighty-six billion, seventy-one million, one hundred forty-five thousand, forty".