10405613477630 has 64 divisors (see below), whose sum is σ = 21625672481280. Its totient is φ = 3531060134784.

The previous prime is 10405613477629. The next prime is 10405613477639. The reversal of 10405613477630 is 3677431650401.

It is a super-3 number, since 3×10405613477630³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405613477639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7551041 + ... + 8822099.

It is an arithmetic number, because the mean of its divisors is an integer number (337901132520).

Almost surely, 2^{10405613477630} is an apocalyptic number.

10405613477630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10405613477630 is an abundant number, since it is smaller than the sum of its proper divisors (11220059003650).

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

10405613477630 is a wasteful number, since it uses less digits than its factorization.

10405613477630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272273.

The product of its (nonzero) digits is 1270080, while the sum is 47.

The spelling of 10405613477630 in words is "ten trillion, four hundred five billion, six hundred thirteen million, four hundred seventy-seven thousand, six hundred thirty".