104620127040 has 1344 divisors, whose sum is σ = 462178725120. Its totient is φ = 21959147520.

The previous prime is 104620126999. The next prime is 104620127047. The reversal of 104620127040 is 40721026401.

104620127040 is a `hidden beast` number, since 10 + 4 + 620 + 1 + 27 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104620126995 and 104620127013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104620127047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 357065134 + ... + 357065426.

It is an arithmetic number, because the mean of its divisors is an integer number (343882980).

Almost surely, 2^104620127040 is an apocalyptic number.

104620127040 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 104620127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231089362560).

104620127040 is an abundant number, since it is smaller than the sum of its proper divisors (357558598080).

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

104620127040 is a wasteful number, since it uses less digits than its factorization.

104620127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 104620127040 in words is "one hundred four billion, six hundred twenty million, one hundred twenty-seven thousand, forty".