10405412326632 has 256 divisors, whose sum is σ = 28036290240000. Its totient is φ = 3211825971200.

The previous prime is 10405412326583. The next prime is 10405412326643. The reversal of 10405412326632 is 23662321450401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715190494 + ... + 715205042.

It is an arithmetic number, because the mean of its divisors is an integer number (109516758750).

Almost surely, 2^{10405412326632} is an apocalyptic number.

10405412326632 is a gapful number since it is divisible by the number (12) 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 10405412326632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018145120000).

10405412326632 is an abundant number, since it is smaller than the sum of its proper divisors (17630877913368).

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

10405412326632 is a wasteful number, since it uses less digits than its factorization.

10405412326632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15052 (or 15048 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 10405412326632 in words is "ten trillion, four hundred five billion, four hundred twelve million, three hundred twenty-six thousand, six hundred thirty-two".